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106555126431 = 31319229762603
BaseRepresentation
bin110001100111100101…
…1100011001010011111
3101012001000021021020010
41203033023203022133
53221211103021211
6120541210054303
710461351426165
oct1431713431237
9335030237203
10106555126431
114120a655666
121879911a393
13a0818c2190
14522b895235
152b899794a6
hex18cf2e329f

106555126431 has 32 divisors (see below), whose sum is σ = 161127671040. Its totient is φ = 62093170944.

The previous prime is 106555126373. The next prime is 106555126463. The reversal of 106555126431 is 134621555601.

It is not a de Polignac number, because 106555126431 - 26 = 106555126367 is a prime.

It is a super-2 number, since 2×1065551264312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106555126431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106555126231) 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, 1670776 + ... + 1733378.

It is an arithmetic number, because the mean of its divisors is an integer number (5035239720).

Almost surely, 2106555126431 is an apocalyptic number.

106555126431 is a deficient number, since it is larger than the sum of its proper divisors (54572544609).

106555126431 is a wasteful number, since it uses less digits than its factorization.

106555126431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64935.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 106555126431 in words is "one hundred six billion, five hundred fifty-five million, one hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 13 19 39 57 247 741 2297 6891 29861 43643 62603 89583 130929 187809 567359 813839 1189457 1702077 2441517 3568371 15462941 46388823 143799091 431397273 1869388183 2732182729 5608164549 8196548187 35518375477 106555126431