105713080 has 32 divisors (see below), whose sum is σ = 259478640. Its totient is φ = 38440960.

The previous prime is 105713071. The next prime is 105713099. The reversal of 105713080 is 80317501.

It is a super-2 number, since 2×105713080² = 22350510566172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119689 + ... + 120568.

Almost surely, 2^105713080 is an apocalyptic number.

105713080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105713080 is an abundant number, since it is smaller than the sum of its proper divisors (153765560).

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

105713080 is a wasteful number, since it uses less digits than its factorization.

105713080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240279 (or 240275 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 105713080 is about 10281.6866320658. The cubic root of 105713080 is about 472.8349556106.

The spelling of 105713080 in words is "one hundred five million, seven hundred thirteen thousand, eighty".