10105556611152 has 80 divisors (see below), whose sum is σ = 26811353338560. Its totient is φ = 3278638848000.

The previous prime is 10105556611091. The next prime is 10105556611181. The reversal of 10105556611152 is 25111665550101.

It is a self number, because there is not a number n which added to its sum of digits gives 10105556611152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17379049 + ... + 17951112.

It is an arithmetic number, because the mean of its divisors is an integer number (335141916732).

Almost surely, 2^{10105556611152} is an apocalyptic number.

10105556611152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105556611152 is an abundant number, since it is smaller than the sum of its proper divisors (16705796727408).

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

10105556611152 is a wasteful number, since it uses less digits than its factorization.

10105556611152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35330332 (or 35330326 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 39.

The spelling of 10105556611152 in words is "ten trillion, one hundred five billion, five hundred fifty-six million, six hundred eleven thousand, one hundred fifty-two".