105213738 has 32 divisors (see below), whose sum is σ = 240943104. Its totient is φ = 30004272.

The previous prime is 105213727. The next prime is 105213743. The reversal of 105213738 is 837312501.

It is a super-2 number, since 2×105213738² = 22139861327865288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23431 + ... + 27557.

It is an arithmetic number, because the mean of its divisors is an integer number (7529472).

Almost surely, 2^105213738 is an apocalyptic number.

105213738 is an abundant number, since it is smaller than the sum of its proper divisors (135729366).

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

105213738 is a wasteful number, since it uses less digits than its factorization.

105213738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746.

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

The square root of 105213738 is about 10257.3748103499. The cubic root of 105213738 is about 472.0892923330.

The spelling of 105213738 in words is "one hundred five million, two hundred thirteen thousand, seven hundred thirty-eight".