105356538 has 144 divisors (see below), whose sum is σ = 287199744. Its totient is φ = 28343520.

The previous prime is 105356519. The next prime is 105356543. The reversal of 105356538 is 835653501.

105356538 is a `hidden beast` number, since 10 + 53 + 565 + 38 = 666.

It is a super-2 number, since 2×105356538² = 22200000198690888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2847456 + ... + 2847492.

Almost surely, 2^105356538 is an apocalyptic number.

105356538 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 105356538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143599872).

105356538 is an abundant number, since it is smaller than the sum of its proper divisors (181843206).

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

105356538 is an frugal number, since it uses more digits than its factorization.

105356538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 105356538 is about 10264.3332954459. Note that the first 3 decimals coincide. The cubic root of 105356538 is about 472.3027748310.

The spelling of 105356538 in words is "one hundred five million, three hundred fifty-six thousand, five hundred thirty-eight".