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106698936 = 233171032539
BaseRepresentation
bin1100101110000…
…01100010111000
321102202212102110
412113001202320
5204303331221
614330532320
72433632421
oct627014270
9242685373
10106698936
1155257543
122b8970a0
131914a986
1410256648
159579776
hex65c18b8

106698936 has 64 divisors (see below), whose sum is σ = 285292800. Its totient is φ = 33136128.

The previous prime is 106698877. The next prime is 106698941. The reversal of 106698936 is 639896601.

It is a super-2 number, since 2×1066989362 = 22769325887064192, which 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 15 ways as a sum of consecutive naturals, for example, 40755 + ... + 43293.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2106698936 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 106698936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

106698936 is an abundant number, since it is smaller than the sum of its proper divisors (178593864).

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

106698936 is a wasteful number, since it uses less digits than its factorization.

106698936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 106698936 is about 10329.5177041331. The cubic root of 106698936 is about 474.3002601833.

The spelling of 106698936 in words is "one hundred six million, six hundred ninety-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 103 136 204 206 309 408 412 618 824 1236 1751 2472 2539 3502 5078 5253 7004 7617 10156 10506 14008 15234 20312 21012 30468 42024 43163 60936 86326 129489 172652 258978 261517 345304 517956 523034 784551 1035912 1046068 1569102 2092136 3138204 4445789 6276408 8891578 13337367 17783156 26674734 35566312 53349468 106698936