101345513904 has 240 divisors, whose sum is σ = 313361193600. Its totient is φ = 31616345088.

The previous prime is 101345513851. The next prime is 101345513911. The reversal of 101345513904 is 409315543101.

101345513904 is a `hidden beast` number, since 1 + 0 + 13 + 4 + 551 + 3 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6123112 + ... + 6139640.

It is an arithmetic number, because the mean of its divisors is an integer number (1305671640).

Almost surely, 2^101345513904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101345513904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156680596800).

101345513904 is an abundant number, since it is smaller than the sum of its proper divisors (212015679696).

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

101345513904 is a wasteful number, since it uses less digits than its factorization.

101345513904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16654 (or 16636 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 101345513904 in words is "one hundred one billion, three hundred forty-five million, five hundred thirteen thousand, nine hundred four".