105257084 has 12 divisors (see below), whose sum is σ = 184374624. Its totient is φ = 52578624.

The previous prime is 105257063. The next prime is 105257107. The reversal of 105257084 is 480752501.

It is a super-2 number, since 2×105257084² = 22158107464366112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105257084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7517 + ... + 16340.

It is an arithmetic number, because the mean of its divisors is an integer number (15364552).

Almost surely, 2^105257084 is an apocalyptic number.

It is an amenable number.

105257084 is a deficient number, since it is larger than the sum of its proper divisors (79117540).

105257084 is a wasteful number, since it uses less digits than its factorization.

105257084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24964 (or 24962 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 105257084 is about 10259.4875115670. The cubic root of 105257084 is about 472.1541139471.

The spelling of 105257084 in words is "one hundred five million, two hundred fifty-seven thousand, eighty-four".