105713904 has 60 divisors (see below), whose sum is σ = 279308264. Its totient is φ = 34453632.

The previous prime is 105713887. The next prime is 105713917. The reversal of 105713904 is 409317501.

It is a super-2 number, since 2×105713904² = 22350858997842432, 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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105534 + ... + 106530.

Almost surely, 2^105713904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105713904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139654132).

105713904 is an abundant number, since it is smaller than the sum of its proper divisors (173594360).

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

105713904 is an equidigital number, since it uses as much as digits as its factorization.

105713904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 105713904 is about 10281.7267032342. The cubic root of 105713904 is about 472.8361841404.

The spelling of 105713904 in words is "one hundred five million, seven hundred thirteen thousand, nine hundred four".