106011010656 has 48 divisors (see below), whose sum is σ = 309198783600. Its totient is φ = 35337003264.

The previous prime is 106011010607. The next prime is 106011010673. The reversal of 106011010656 is 656010110601.

106011010656 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 1 + 0 + 1 + 0 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106011010656² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 61348101 + ... + 61349828.

It is an arithmetic number, because the mean of its divisors is an integer number (6441641325).

Almost surely, 2^106011010656 is an apocalyptic number.

106011010656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106011010656 is an abundant number, since it is smaller than the sum of its proper divisors (203187772944).

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

106011010656 is a wasteful number, since it uses less digits than its factorization.

106011010656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122697948 (or 122697934 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106011010656 in words is "one hundred six billion, eleven million, ten thousand, six hundred fifty-six".