105764840 has 16 divisors (see below), whose sum is σ = 237970980. Its totient is φ = 42305920.

The previous prime is 105764807. The next prime is 105764843. The reversal of 105764840 is 48467501.

It can be written as a sum of positive squares in 2 ways, for example, as 105555076 + 209764 = 10274^2 + 458^2 .

It is a super-2 number, since 2×105764840² = 22372402760451200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105764840.

It is not an unprimeable number, because it can be changed into a prime (105764843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1322021 + ... + 1322100.

Almost surely, 2^105764840 is an apocalyptic number.

105764840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105764840 is an abundant number, since it is smaller than the sum of its proper divisors (132206140).

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

105764840 is a wasteful number, since it uses less digits than its factorization.

105764840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2644132 (or 2644128 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 105764840 is about 10284.2034207808. The cubic root of 105764840 is about 472.9121139718.

The spelling of 105764840 in words is "one hundred five million, seven hundred sixty-four thousand, eight hundred forty".