100252000 has 96 divisors (see below), whose sum is σ = 250496064. Its totient is φ = 39424000.

The previous prime is 100251997. The next prime is 100252007. The reversal of 100252000 is 252001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252007) 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, 283824 + ... + 284176.

It is an arithmetic number, because the mean of its divisors is an integer number (2609334).

Almost surely, 2^100252000 is an apocalyptic number.

100252000 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 100252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125248032).

100252000 is an abundant number, since it is smaller than the sum of its proper divisors (150244064).

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

100252000 is an equidigital number, since it uses as much as digits as its factorization.

100252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 100252000 is about 10012.5920719862. The cubic root of 100252000 is about 464.5484497705.

Subtracting from 100252000 its reverse (252001), we obtain a palindrome (99999999).

The spelling of 100252000 in words is "one hundred million, two hundred fifty-two thousand".