100527345652464 has 60 divisors (see below), whose sum is σ = 282382808877000. Its totient is φ = 33384546003072.

The previous prime is 100527345652429. The next prime is 100527345652583. The reversal of 100527345652464 is 464256543725001.

It is a happy number.

100527345652464 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 7 + 3 + 4 + 56 + 524 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100527345652464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1297557114 + ... + 1297634585.

It is an arithmetic number, because the mean of its divisors is an integer number (4706380147950).

Almost surely, 2^{100527345652464} is an apocalyptic number.

It is an amenable number.

100527345652464 is an abundant number, since it is smaller than the sum of its proper divisors (181855463224536).

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

100527345652464 is a wasteful number, since it uses less digits than its factorization.

100527345652464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2595191982 (or 2595191973 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 100527345652464 in words is "one hundred trillion, five hundred twenty-seven billion, three hundred forty-five million, six hundred fifty-two thousand, four hundred sixty-four".