100694032 has 80 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 46126080.

The previous prime is 100694017. The next prime is 100694047. The reversal of 100694032 is 230496001.

It is an interprime number because it is at equal distance from previous prime (100694017) and next prime (100694047).

It is a junction number, because it is equal to n+sod(n) for n = 100693988 and 100694006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1274569 + ... + 1274647.

It is an arithmetic number, because the mean of its divisors is an integer number (2656080).

Almost surely, 2^100694032 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 100694032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

100694032 is an abundant number, since it is smaller than the sum of its proper divisors (111792368).

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

100694032 is a wasteful number, since it uses less digits than its factorization.

100694032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 100694032 is about 10034.6415979845. The cubic root of 100694032 is about 465.2302124422.

The spelling of 100694032 in words is "one hundred million, six hundred ninety-four thousand, thirty-two".