105317980 has 24 divisors (see below), whose sum is σ = 223201440. Its totient is φ = 41739840.

The previous prime is 105317939. The next prime is 105317983. The reversal of 105317980 is 89713501.

It is a happy number.

It is a super-2 number, since 2×105317980² = 22183753822560800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105317983) 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, 21976 + ... + 26335.

It is an arithmetic number, because the mean of its divisors is an integer number (9300060).

Almost surely, 2^105317980 is an apocalyptic number.

105317980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105317980 is an abundant number, since it is smaller than the sum of its proper divisors (117883460).

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

105317980 is a wasteful number, since it uses less digits than its factorization.

105317980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48429 (or 48427 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 34.

The square root of 105317980 is about 10262.4548720080. The cubic root of 105317980 is about 472.2451505873.

The spelling of 105317980 in words is "one hundred five million, three hundred seventeen thousand, nine hundred eighty".