101380398525 has 96 divisors (see below), whose sum is σ = 217189472000. Its totient is φ = 46345219200.

The previous prime is 101380398517. The next prime is 101380398551. The reversal of 101380398525 is 525893083101.

101380398525 is a `hidden beast` number, since 1 + 0 + 1 + 38 + 0 + 3 + 98 + 525 = 666.

It is not a de Polignac number, because 101380398525 - 2³ = 101380398517 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12585 + ... + 450465.

Almost surely, 2^101380398525 is an apocalyptic number.

101380398525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101380398525 is an abundant number, since it is smaller than the sum of its proper divisors (115809073475).

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

101380398525 is an equidigital number, since it uses as much as digits as its factorization.

101380398525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437921 (or 437896 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 101380398525 in words is "one hundred one billion, three hundred eighty million, three hundred ninety-eight thousand, five hundred twenty-five".