100952500 has 60 divisors (see below), whose sum is σ = 240897888. Its totient is φ = 36700000.

The previous prime is 100952483. The next prime is 100952513. The reversal of 100952500 is 5259001.

100952500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

100952500 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25665 + ... + 29335.

Almost surely, 2^100952500 is an apocalyptic number.

100952500 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 100952500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120448944).

100952500 is an abundant number, since it is smaller than the sum of its proper divisors (139945388).

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

100952500 is a wasteful number, since it uses less digits than its factorization.

100952500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The square root of 100952500 is about 10047.5121298757. The cubic root of 100952500 is about 465.6279334079.

The spelling of 100952500 in words is "one hundred million, nine hundred fifty-two thousand, five hundred".