105277872 has 120 divisors (see below), whose sum is σ = 335108016. Its totient is φ = 28299264.

The previous prime is 105277867. The next prime is 105277901. The reversal of 105277872 is 278772501.

It is a super-2 number, since 2×105277872² = 22166860665696768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105277872.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38668 + ... + 41300.

Almost surely, 2^105277872 is an apocalyptic number.

105277872 is a gapful number since it is divisible by the number (12) 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 105277872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167554008).

105277872 is an abundant number, since it is smaller than the sum of its proper divisors (229830144).

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

105277872 is a wasteful number, since it uses less digits than its factorization.

105277872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 105277872 is about 10260.5005725842. The cubic root of 105277872 is about 472.1851949704.

The spelling of 105277872 in words is "one hundred five million, two hundred seventy-seven thousand, eight hundred seventy-two".