100264900 has 72 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 37578240.

The previous prime is 100264891. The next prime is 100264903. The reversal of 100264900 is 9462001.

It is not an unprimeable number, because it can be changed into a prime (100264903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214467 + ... + 214933.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^100264900 is an apocalyptic number.

100264900 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 100264900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

100264900 is an abundant number, since it is smaller than the sum of its proper divisors (131282780).

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

100264900 is a wasteful number, since it uses less digits than its factorization.

100264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 100264900 is about 10013.2362400974. The cubic root of 100264900 is about 464.5683742874.

The spelling of 100264900 in words is "one hundred million, two hundred sixty-four thousand, nine hundred".