105874488 has 48 divisors (see below), whose sum is σ = 287230320. Its totient is φ = 35231616.

The previous prime is 105874477. The next prime is 105874499. The reversal of 105874488 is 884478501.

It is an interprime number because it is at equal distance from previous prime (105874477) and next prime (105874499).

It is a super-2 number, since 2×105874488² = 22418814418524288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67845 + ... + 69387.

It is an arithmetic number, because the mean of its divisors is an integer number (5983965).

Almost surely, 2^105874488 is an apocalyptic number.

105874488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105874488 is an abundant number, since it is smaller than the sum of its proper divisors (181355832).

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

105874488 is a wasteful number, since it uses less digits than its factorization.

105874488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 105874488 is about 10289.5329340063. The cubic root of 105874488 is about 473.0754825625.

The spelling of 105874488 in words is "one hundred five million, eight hundred seventy-four thousand, four hundred eighty-eight".