100373952 has 168 divisors, whose sum is σ = 316894464. Its totient is φ = 27944448.

The previous prime is 100373947. The next prime is 100373963. The reversal of 100373952 is 259373001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442063 + ... + 442289.

Almost surely, 2^100373952 is an apocalyptic number.

100373952 is a gapful number since it is divisible by the number (12) 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 100373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158447232).

100373952 is an abundant number, since it is smaller than the sum of its proper divisors (216520512).

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

100373952 is a wasteful number, since it uses less digits than its factorization.

100373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 100373952 is about 10018.6801525950. The cubic root of 100373952 is about 464.7367407981.

The spelling of 100373952 in words is "one hundred million, three hundred seventy-three thousand, nine hundred fifty-two".