105219900 has 54 divisors (see below), whose sum is σ = 329808752. Its totient is φ = 28058400.

The previous prime is 105219869. The next prime is 105219911. The reversal of 105219900 is 9912501.

It is a happy number.

It is a super-2 number, since 2×105219900² = 22142454712020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57556 + ... + 59355.

Almost surely, 2^105219900 is an apocalyptic number.

105219900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105219900 is an abundant number, since it is smaller than the sum of its proper divisors (224588852).

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

105219900 is a wasteful number, since it uses less digits than its factorization.

105219900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116931 (or 116921 counting only the distinct ones).

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

The square root of 105219900 is about 10257.6751752042. The cubic root of 105219900 is about 472.0985083584.

The spelling of 105219900 in words is "one hundred five million, two hundred nineteen thousand, nine hundred".