100258900 has 144 divisors (see below), whose sum is σ = 263872000. Its totient is φ = 33022080.

The previous prime is 100258897. The next prime is 100258901. The reversal of 100258900 is 9852001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100258901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269061 + ... + 1269139.

Almost surely, 2^100258900 is an apocalyptic number.

100258900 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 100258900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131936000).

100258900 is an abundant number, since it is smaller than the sum of its proper divisors (163613100).

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

100258900 is a wasteful number, since it uses less digits than its factorization.

100258900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 100258900 is about 10012.9366321774. The cubic root of 100258900 is about 464.5591072828.

The spelling of 100258900 in words is "one hundred million, two hundred fifty-eight thousand, nine hundred".