105492420 has 72 divisors (see below), whose sum is σ = 349090560. Its totient is φ = 25573440.

The previous prime is 105492407. The next prime is 105492433. The reversal of 105492420 is 24294501.

It is an interprime number because it is at equal distance from previous prime (105492407) and next prime (105492433).

It is a super-2 number, since 2×105492420² = 22257301354912800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24660 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (4848480).

Almost surely, 2^105492420 is an apocalyptic number.

105492420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105492420 is an abundant number, since it is smaller than the sum of its proper divisors (243598140).

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

105492420 is a wasteful number, since it uses less digits than its factorization.

105492420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53305 (or 53300 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105492420 is about 10270.9502968323. The cubic root of 105492420 is about 472.5057360520.

The spelling of 105492420 in words is "one hundred five million, four hundred ninety-two thousand, four hundred twenty".