105720790 has 64 divisors (see below), whose sum is σ = 233622144. Its totient is φ = 33619968.

The previous prime is 105720787. The next prime is 105720793. The reversal of 105720790 is 97027501.

It is an interprime number because it is at equal distance from previous prime (105720787) and next prime (105720793).

It is a super-2 number, since 2×105720790² = 22353770876448200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105720793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86262 + ... + 87478.

It is an arithmetic number, because the mean of its divisors is an integer number (3650346).

Almost surely, 2^105720790 is an apocalyptic number.

105720790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105720790 is an abundant number, since it is smaller than the sum of its proper divisors (127901354).

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

105720790 is a wasteful number, since it uses less digits than its factorization.

105720790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 105720790 is about 10282.0615637138. The cubic root of 105720790 is about 472.8464504634.

The spelling of 105720790 in words is "one hundred five million, seven hundred twenty thousand, seven hundred ninety".