101032674400 has 72 divisors (see below), whose sum is σ = 281881177200. Its totient is φ = 34639772160.

The previous prime is 101032674389. The next prime is 101032674433. The reversal of 101032674400 is 4476230101.

101032674400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 9015175 + ... + 9026374.

It is an arithmetic number, because the mean of its divisors is an integer number (3915016350).

Almost surely, 2^101032674400 is an apocalyptic number.

101032674400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032674400 is an abundant number, since it is smaller than the sum of its proper divisors (180848502800).

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

101032674400 is a wasteful number, since it uses less digits than its factorization.

101032674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18041576 (or 18041563 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 101032674400 in words is "one hundred one billion, thirty-two million, six hundred seventy-four thousand, four hundred".