105261900 has 144 divisors (see below), whose sum is σ = 327062400. Its totient is φ = 26058240.

The previous prime is 105261899. The next prime is 105261931. The reversal of 105261900 is 9162501.

It is a super-2 number, since 2×105261900² = 22160135183220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336144 + ... + 336456.

Almost surely, 2^105261900 is an apocalyptic number.

105261900 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 105261900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163531200).

105261900 is an abundant number, since it is smaller than the sum of its proper divisors (221800500).

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

105261900 is a wasteful number, since it uses less digits than its factorization.

105261900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 105261900 is about 10259.7222184619. The cubic root of 105261900 is about 472.1613149178.

The spelling of 105261900 in words is "one hundred five million, two hundred sixty-one thousand, nine hundred".