105500538 has 96 divisors (see below), whose sum is σ = 284461632. Its totient is φ = 27763200.

The previous prime is 105500509. The next prime is 105500567. The reversal of 105500538 is 835005501.

105500538 is a `hidden beast` number, since 105 + 500 + 53 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (105500509) and next prime (105500567).

It is a super-2 number, since 2×105500538² = 22260727036578888, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42553 + ... + 44963.

It is an arithmetic number, because the mean of its divisors is an integer number (2963142).

Almost surely, 2^105500538 is an apocalyptic number.

105500538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105500538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142230816).

105500538 is an abundant number, since it is smaller than the sum of its proper divisors (178961094).

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

105500538 is a wasteful number, since it uses less digits than its factorization.

105500538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105500538 is about 10271.3454814839. The cubic root of 105500538 is about 472.5178560481.

The spelling of 105500538 in words is "one hundred five million, five hundred thousand, five hundred thirty-eight".