100631212704 has 768 divisors, whose sum is σ = 351151718400. Its totient is φ = 27709516800.

The previous prime is 100631212679. The next prime is 100631212709. The reversal of 100631212704 is 407212136001.

100631212704 is a `hidden beast` number, since 1 + 0 + 0 + 631 + 2 + 1 + 27 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100631212709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 602582029 + ... + 602582195.

It is an arithmetic number, because the mean of its divisors is an integer number (457228800).

Almost surely, 2^100631212704 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 100631212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175575859200).

100631212704 is an abundant number, since it is smaller than the sum of its proper divisors (250520505696).

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

100631212704 is a wasteful number, since it uses less digits than its factorization.

100631212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

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

Adding to 100631212704 its reverse (407212136001), we get a palindrome (507843348705).

The spelling of 100631212704 in words is "one hundred billion, six hundred thirty-one million, two hundred twelve thousand, seven hundred four".