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106137760359 = 3232967791677
BaseRepresentation
bin110001011011001001…
…1011011001001100111
3101010221220220212121110
41202312103123021213
53214332231312414
6120431540320103
710445123035401
oct1426623331147
9333856825543
10106137760359
1141015aa9324
12186a13a3033
13a0162b02c7
1451cc28db71
152b62ed5459
hex18b64db267

106137760359 has 32 divisors (see below), whose sum is σ = 155042219520. Its totient is φ = 64372758912.

The previous prime is 106137760327. The next prime is 106137760363. The reversal of 106137760359 is 953067731601.

It is not a de Polignac number, because 106137760359 - 25 = 106137760327 is a prime.

It is a super-2 number, since 2×1061377603592 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106137760259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261772 + ... + 529905.

It is an arithmetic number, because the mean of its divisors is an integer number (4845069360).

Almost surely, 2106137760359 is an apocalyptic number.

106137760359 is a deficient number, since it is larger than the sum of its proper divisors (48904459161).

106137760359 is a wasteful number, since it uses less digits than its factorization.

106137760359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791799.

The product of its (nonzero) digits is 714420, while the sum is 48.

The spelling of 106137760359 in words is "one hundred six billion, one hundred thirty-seven million, seven hundred sixty thousand, three hundred fifty-nine".

Divisors: 1 3 23 29 67 69 87 201 667 1541 1943 2001 4623 5829 44689 134067 791677 2375031 18208571 22958633 53042359 54625713 68875899 159127077 528048559 1219974257 1538228411 1584145677 3659922771 4614685233 35379253453 106137760359