105763764 has 24 divisors (see below), whose sum is σ = 252802368. Its totient is φ = 34394560.

The previous prime is 105763759. The next prime is 105763781. The reversal of 105763764 is 467367501.

It is a super-2 number, since 2×105763764² = 22371947550895392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106992 + ... + 107975.

It is an arithmetic number, because the mean of its divisors is an integer number (10533432).

Almost surely, 2^105763764 is an apocalyptic number.

It is an amenable number.

105763764 is an abundant number, since it is smaller than the sum of its proper divisors (147038604).

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

105763764 is a wasteful number, since it uses less digits than its factorization.

105763764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215015 (or 215013 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 105763764 is about 10284.1511074079. The cubic root of 105763764 is about 472.9105102405.

The spelling of 105763764 in words is "one hundred five million, seven hundred sixty-three thousand, seven hundred sixty-four".