105980 has 24 divisors (see below), whose sum is σ = 254688. Its totient is φ = 36288.

The previous prime is 105977. The next prime is 105983. The reversal of 105980 is 89501.

105980 = T₄₉ + T₅₀ + ... + T₉₀.

It is an interprime number because it is at equal distance from previous prime (105977) and next prime (105983).

It is a super-2 number, since 2×105980² = 22463520800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (10612).

2¹⁰⁵⁹⁸⁰ is an apocalyptic number.

105980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105980 is an abundant number, since it is smaller than the sum of its proper divisors (148708).

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

105980 is a wasteful number, since it uses less digits than its factorization.

105980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 105980 is about 325.5456957172. The cubic root of 105980 is about 47.3232582317.

The spelling of 105980 in words is "one hundred five thousand, nine hundred eighty".