106556040355656 has 64 divisors (see below), whose sum is σ = 275096171450880. Its totient is φ = 34358811056640.

The previous prime is 106556040355621. The next prime is 106556040355691. The reversal of 106556040355656 is 656553040655601.

It is an interprime number because it is at equal distance from previous prime (106556040355621) and next prime (106556040355691).

It is a super-2 number, since 2×106556040355656² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106556040355596 and 106556040355605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27571461 + ... + 31197716.

It is an arithmetic number, because the mean of its divisors is an integer number (4298377678920).

Almost surely, 2^{106556040355656} is an apocalyptic number.

It is an amenable number.

106556040355656 is an abundant number, since it is smaller than the sum of its proper divisors (168540131095224).

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

106556040355656 is a wasteful number, since it uses less digits than its factorization.

106556040355656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58771654 (or 58771650 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 57.

The spelling of 106556040355656 in words is "one hundred six trillion, five hundred fifty-six billion, forty million, three hundred fifty-five thousand, six hundred fifty-six".