105799080 has 64 divisors (see below), whose sum is σ = 331205760. Its totient is φ = 26985728.

The previous prime is 105799079. The next prime is 105799081. The reversal of 105799080 is 80997501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105799079) and next prime (105799081).

It is a super-2 number, since 2×105799080² = 22386890657692800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105799081) 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, 16407 + ... + 21926.

It is an arithmetic number, because the mean of its divisors is an integer number (5175090).

Almost surely, 2^105799080 is an apocalyptic number.

105799080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105799080 is an abundant number, since it is smaller than the sum of its proper divisors (225406680).

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

105799080 is a wasteful number, since it uses less digits than its factorization.

105799080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38370 (or 38366 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 105799080 is about 10285.8679750423. The cubic root of 105799080 is about 472.9631415273.

The spelling of 105799080 in words is "one hundred five million, seven hundred ninety-nine thousand, eighty".