101631074400 has 216 divisors, whose sum is σ = 358770334104. Its totient is φ = 27071846400.

The previous prime is 101631074387. The next prime is 101631074411. The reversal of 101631074400 is 4470136101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6983932 + ... + 6998468.

It is an arithmetic number, because the mean of its divisors is an integer number (1660973769).

Almost surely, 2^101631074400 is an apocalyptic number.

101631074400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101631074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179385167052).

101631074400 is an abundant number, since it is smaller than the sum of its proper divisors (257139259704).

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

101631074400 is a wasteful number, since it uses less digits than its factorization.

101631074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534 (or 15518 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 101631074400 in words is "one hundred one billion, six hundred thirty-one million, seventy-four thousand, four hundred".