100464632064 has 108 divisors (see below), whose sum is σ = 290059101696. Its totient is φ = 33442569216.

The previous prime is 100464631997. The next prime is 100464632119. The reversal of 100464632064 is 460236464001.

100464632064 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 646 + 3 + 2 + 0 + 6 + 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 11 ways as a sum of consecutive naturals, for example, 1682529 + ... + 1741215.

Almost surely, 2^100464632064 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 100464632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145029550848).

100464632064 is an abundant number, since it is smaller than the sum of its proper divisors (189594469632).

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

100464632064 is an equidigital number, since it uses as much as digits as its factorization.

100464632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59452 (or 59435 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 100464632064 in words is "one hundred billion, four hundred sixty-four million, six hundred thirty-two thousand, sixty-four".