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106692378920 = 23516661160093
BaseRepresentation
bin110001101011101011…
…1001000000100101000
3101012101120112102020122
41203113113020010220
53222001222111140
6121002551542412
710464636154211
oct1432727100450
9335346472218
10106692378920
1141280080476
121881708aa08
13a0a4179a7a
145241bc2408
152b96a3bab5
hex18d75c8128

106692378920 has 32 divisors (see below), whose sum is σ = 240073760520. Its totient is φ = 42674123520.

The previous prime is 106692378883. The next prime is 106692378931. The reversal of 106692378920 is 29873296601.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51084136324 + 55608242596 = 226018^2 + 235814^2 .

It is a super-2 number, since 2×1066923789202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586394 + ... + 746486.

Almost surely, 2106692378920 is an apocalyptic number.

106692378920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106692378920 is an abundant number, since it is smaller than the sum of its proper divisors (133381381600).

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

106692378920 is a wasteful number, since it uses less digits than its factorization.

106692378920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176765 (or 176761 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 53.

The spelling of 106692378920 in words is "one hundred six billion, six hundred ninety-two million, three hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 16661 33322 66644 83305 133288 160093 166610 320186 333220 640372 666440 800465 1280744 1600930 3201860 6403720 2667309473 5334618946 10669237892 13336547365 21338475784 26673094730 53346189460 106692378920