100057526132640 has 48 divisors (see below), whose sum is σ = 315181207319328. Its totient is φ = 26682006968576.

The previous prime is 100057526132621. The next prime is 100057526132647. The reversal of 100057526132640 is 46231625750001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100057526132592 and 100057526132601.

It is not an unprimeable number, because it can be changed into a prime (100057526132647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104226589242 + ... + 104226590201.

It is an arithmetic number, because the mean of its divisors is an integer number (6566275152486).

Almost surely, 2^{100057526132640} is an apocalyptic number.

100057526132640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100057526132640 is an abundant number, since it is smaller than the sum of its proper divisors (215123681186688).

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

100057526132640 is a wasteful number, since it uses less digits than its factorization.

100057526132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208453179461 (or 208453179453 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 100057526132640 in words is "one hundred trillion, fifty-seven billion, five hundred twenty-six million, one hundred thirty-two thousand, six hundred forty".