106011215100756 has 48 divisors (see below), whose sum is σ = 314107304004480. Its totient is φ = 30288918600000.

The previous prime is 106011215100751. The next prime is 106011215100793. The reversal of 106011215100756 is 657001512110601.

106011215100756 is a `hidden beast` number, since 1 + 0 + 60 + 1 + 12 + 1 + 510 + 0 + 75 + 6 = 666.

It is a super-2 number, since 2×106011215100756² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106011215100756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106011215100751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70113236745 + ... + 70113238256.

It is an arithmetic number, because the mean of its divisors is an integer number (6543902166760).

Almost surely, 2^{106011215100756} is an apocalyptic number.

It is an amenable number.

106011215100756 is an abundant number, since it is smaller than the sum of its proper divisors (208096088903724).

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

106011215100756 is a wasteful number, since it uses less digits than its factorization.

106011215100756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140226475021 (or 140226475013 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 106011215100756 in words is "one hundred six trillion, eleven billion, two hundred fifteen million, one hundred thousand, seven hundred fifty-six".