100634640 has 160 divisors (see below), whose sum is σ = 340156800. Its totient is φ = 24514560.

The previous prime is 100634629. The next prime is 100634641. The reversal of 100634640 is 46436001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100634640.

It is not an unprimeable number, because it can be changed into a prime (100634641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131860 + ... + 132620.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 2^100634640 is an apocalyptic number.

100634640 is a gapful number since it is divisible by the number (10) 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 100634640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170078400).

100634640 is an abundant number, since it is smaller than the sum of its proper divisors (239522160).

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

100634640 is a wasteful number, since it uses less digits than its factorization.

100634640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 100634640 is about 10031.6818131358. The cubic root of 100634640 is about 465.1387260965.

The spelling of 100634640 in words is "one hundred million, six hundred thirty-four thousand, six hundred forty".