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106044511356 = 22327523804611
BaseRepresentation
bin110001011000010111…
…1101101010001111100
3101010201102110100000200
41202300233231101330
53214134343330411
6120414405523500
710442611321410
oct1426057552174
9333642410020
10106044511356
1140a783a8a33
1218676113590
139cccb91594
1451bdb38d40
152b59c15e56
hex18b0bed47c

106044511356 has 72 divisors (see below), whose sum is σ = 306936948864. Its totient is φ = 30240462240.

The previous prime is 106044511337. The next prime is 106044511403. The reversal of 106044511356 is 653115440601.

106044511356 is a `hidden beast` number, since 1 + 0 + 604 + 4 + 5 + 11 + 35 + 6 = 666.

It is a super-2 number, since 2×1060445113562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106044511356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270510 + ... + 534101.

Almost surely, 2106044511356 is an apocalyptic number.

It is an amenable number.

106044511356 is an abundant number, since it is smaller than the sum of its proper divisors (200892437508).

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

106044511356 is a wasteful number, since it uses less digits than its factorization.

106044511356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805151 (or 805146 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 106044511356 its reverse (653115440601), we get a palindrome (759159951957).

The spelling of 106044511356 in words is "one hundred six billion, forty-four million, five hundred eleven thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 523 1046 1569 2092 3138 3661 4707 6276 7322 9414 10983 14644 18828 21966 32949 43932 65898 131796 804611 1609222 2413833 3218444 4827666 5632277 7241499 9655332 11264554 14482998 16896831 22529108 28965996 33793662 50690493 67587324 101380986 202761972 420811553 841623106 1262434659 1683246212 2524869318 2945680871 3787303977 5049738636 5891361742 7574607954 8837042613 11782723484 15149215908 17674085226 26511127839 35348170452 53022255678 106044511356