100109952 has 128 divisors (see below), whose sum is σ = 299880000. Its totient is φ = 32873472.

The previous prime is 100109941. The next prime is 100109983. The reversal of 100109952 is 259901001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286674 + ... + 287022.

Almost surely, 2^100109952 is an apocalyptic number.

100109952 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 100109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149940000).

100109952 is an abundant number, since it is smaller than the sum of its proper divisors (199770048).

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

100109952 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (100109951) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (437).

100109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 100109952 is about 10005.4960896499. The cubic root of 100109952 is about 464.3289383753.

The spelling of 100109952 in words is "one hundred million, one hundred nine thousand, nine hundred fifty-two".