100649032 has 64 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 44352000.

The previous prime is 100649011. The next prime is 100649039. The reversal of 100649032 is 230946001.

It is a junction number, because it is equal to n+sod(n) for n = 100648988 and 100649006.

It is not an unprimeable number, because it can be changed into a prime (100649039) 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, 555982 + ... + 556162.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2^100649032 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 100649032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106142400).

100649032 is an abundant number, since it is smaller than the sum of its proper divisors (111635768).

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

100649032 is a wasteful number, since it uses less digits than its factorization.

100649032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

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

The square root of 100649032 is about 10032.3991148678. The cubic root of 100649032 is about 465.1608985726.

The spelling of 100649032 in words is "one hundred million, six hundred forty-nine thousand, thirty-two".