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108106973172 = 2232111743337087
BaseRepresentation
bin110010010101110101…
…1010111111111110100
3101100001011100020202100
41210223223113333310
53232400341120142
6121355203342100
710544664052542
oct1445353277764
9340034306670
10108106973172
1141936628030
1218b50981930
13a26b2682a3
145337a12d92
152c2ad15b4c
hex192bad7ff4

108106973172 has 144 divisors (see below), whose sum is σ = 316386749952. Its totient is φ = 30760611840.

The previous prime is 108106973123. The next prime is 108106973173. The reversal of 108106973172 is 271379601801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108106973173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2896413 + ... + 2933499.

It is an arithmetic number, because the mean of its divisors is an integer number (2197130208).

Almost surely, 2108106973172 is an apocalyptic number.

108106973172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108106973172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158193374976).

108106973172 is an abundant number, since it is smaller than the sum of its proper divisors (208279776780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108106973172 is a wasteful number, since it uses less digits than its factorization.

108106973172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37558 (or 37553 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 108106973172 in words is "one hundred eight billion, one hundred six million, nine hundred seventy-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 433 561 612 748 866 1122 1299 1683 1732 2244 2598 3366 3897 4763 5196 6732 7361 7794 9526 14289 14722 15588 19052 22083 28578 29444 37087 42867 44166 57156 66249 74174 80971 85734 88332 111261 132498 148348 161942 171468 222522 242913 264996 323884 333783 407957 445044 485826 630479 667566 728739 815914 971652 1223871 1260958 1335132 1457478 1631828 1891437 2447742 2521916 2914956 3671613 3782874 4895484 5674311 6935269 7343226 7565748 11348622 13870538 14686452 16058671 20805807 22697244 27741076 32117342 41611614 48176013 62417421 64234684 83223228 96352026 124834842 144528039 176645381 192704052 249669684 272997407 289056078 353290762 529936143 545994814 578112156 706581524 818992221 1059872286 1091989628 1589808429 1637984442 2119744572 2456976663 3002971477 3179616858 3275968884 4913953326 6005942954 6359233716 9008914431 9827906652 12011885908 18017828862 27026743293 36035657724 54053486586 108106973172