100601632 has 48 divisors (see below), whose sum is σ = 210651840. Its totient is φ = 47187712.

The previous prime is 100601629. The next prime is 100601647. The reversal of 100601632 is 236106001.

It is a super-2 number, since 2×100601632² = 20241376722126848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37719 + ... + 40297.

It is an arithmetic number, because the mean of its divisors is an integer number (4388580).

Almost surely, 2^100601632 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 100601632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105325920).

100601632 is an abundant number, since it is smaller than the sum of its proper divisors (110050208).

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

100601632 is a wasteful number, since it uses less digits than its factorization.

100601632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 100601632 is about 10030.0364904620. The cubic root of 100601632 is about 465.0878656175.

Adding to 100601632 its reverse (236106001), we get a palindrome (336707633).

The spelling of 100601632 in words is "one hundred million, six hundred one thousand, six hundred thirty-two".