102577567544106 has 16 divisors (see below), whose sum is σ = 217223084211264. Its totient is φ = 32181197660864.

The previous prime is 102577567544087. The next prime is 102577567544117. The reversal of 102577567544106 is 601445765775201.

It is a self number, because there is not a number n which added to its sum of digits gives 102577567544106.

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, 502831213350 + ... + 502831213553.

It is an arithmetic number, because the mean of its divisors is an integer number (13576442763204).

Almost surely, 2^{102577567544106} is an apocalyptic number.

102577567544106 is an abundant number, since it is smaller than the sum of its proper divisors (114645516667158).

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

102577567544106 is a wasteful number, since it uses less digits than its factorization.

102577567544106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005662426925.

The product of its (nonzero) digits is 49392000, while the sum is 60.

The spelling of 102577567544106 in words is "one hundred two trillion, five hundred seventy-seven billion, five hundred sixty-seven million, five hundred forty-four thousand, one hundred six".