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106698911484 = 223112382342703
BaseRepresentation
bin110001101011111000…
…0000010111011111100
3101012102000211022020110
41203113300002323330
53222004410131414
6121003343550020
710465045532454
oct1432760027374
9335360738213
10106698911484
1141283832490
12188192bb310
13a0a56262a9
145242a02d64
152b973cc459
hex18d7c02efc

106698911484 has 96 divisors (see below), whose sum is σ = 283756806144. Its totient is φ = 30888918720.

The previous prime is 106698911447. The next prime is 106698911491. The reversal of 106698911484 is 484119896601.

It is a happy number.

It is a super-2 number, since 2×1066989114842 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2477277 + ... + 2519979.

It is an arithmetic number, because the mean of its divisors is an integer number (2955800064).

Almost surely, 2106698911484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106698911484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141878403072).

106698911484 is an abundant number, since it is smaller than the sum of its proper divisors (177057894660).

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

106698911484 is a wasteful number, since it uses less digits than its factorization.

106698911484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43567 (or 43565 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 106698911484 in words is "one hundred six billion, six hundred ninety-eight million, nine hundred eleven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 823 1012 1518 1646 2469 3036 3292 4938 9053 9876 18106 18929 27159 36212 37858 42703 54318 56787 75716 85406 108636 113574 128109 170812 208219 227148 256218 416438 469733 512436 624657 832876 939466 982169 1249314 1409199 1878932 1964338 2498628 2818398 2946507 3928676 5636796 5893014 10803859 11786028 21607718 32411577 35144569 43215436 64823154 70289138 105433707 129646308 140578276 210867414 386590259 421734828 773180518 808325087 1159770777 1546361036 1616650174 2319541554 2424975261 3233300348 4639083108 4849950522 8891575957 9699901044 17783151914 26674727871 35566303828 53349455742 106698911484