105279980 has 48 divisors (see below), whose sum is σ = 252110880. Its totient is φ = 36584448.

The previous prime is 105279971. The next prime is 105279983. The reversal of 105279980 is 89972501.

It is a super-2 number, since 2×105279980² = 22167748377600800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105279983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7490 + ... + 16329.

It is an arithmetic number, because the mean of its divisors is an integer number (5252310).

Almost surely, 2^105279980 is an apocalyptic number.

105279980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105279980 is an abundant number, since it is smaller than the sum of its proper divisors (146830900).

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

105279980 is a wasteful number, since it uses less digits than its factorization.

105279980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23858 (or 23856 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 105279980 is about 10260.6032961030. The cubic root of 105279980 is about 472.1883465024.

The spelling of 105279980 in words is "one hundred five million, two hundred seventy-nine thousand, nine hundred eighty".