105792420 has 24 divisors (see below), whose sum is σ = 296218944. Its totient is φ = 28211296.

The previous prime is 105792413. The next prime is 105792439. The reversal of 105792420 is 24297501.

It is a super-2 number, since 2×105792420² = 22384072258912800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 881544 + ... + 881663.

It is an arithmetic number, because the mean of its divisors is an integer number (12342456).

Almost surely, 2^105792420 is an apocalyptic number.

105792420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105792420 is an abundant number, since it is smaller than the sum of its proper divisors (190426524).

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

105792420 is a wasteful number, since it uses less digits than its factorization.

105792420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763219 (or 1763217 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105792420 is about 10285.5442247846. The cubic root of 105792420 is about 472.9532170534.

The spelling of 105792420 in words is "one hundred five million, seven hundred ninety-two thousand, four hundred twenty".