100329631936 has 112 divisors (see below), whose sum is σ = 211123987200. Its totient is φ = 47173819392.

The previous prime is 100329631933. The next prime is 100329631973. The reversal of 100329631936 is 639136923001.

It is a super-2 number, since 2×100329631936² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100329631892 and 100329631901.

It is not an unprimeable number, because it can be changed into a prime (100329631933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135032781 + ... + 135033523.

It is an arithmetic number, because the mean of its divisors is an integer number (1885035600).

Almost surely, 2^100329631936 is an apocalyptic number.

100329631936 is a gapful number since it is divisible by the number (16) 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 100329631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105561993600).

100329631936 is an abundant number, since it is smaller than the sum of its proper divisors (110794355264).

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

100329631936 is a wasteful number, since it uses less digits than its factorization.

100329631936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 43.

The spelling of 100329631936 in words is "one hundred billion, three hundred twenty-nine million, six hundred thirty-one thousand, nine hundred thirty-six".