105357030 has 32 divisors (see below), whose sum is σ = 253135584. Its totient is φ = 28064256.

The previous prime is 105357017. The next prime is 105357047. The reversal of 105357030 is 30753501.

It is a super-2 number, since 2×105357030² = 22200207540841800, 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 15 ways as a sum of consecutive naturals, for example, 42382 + ... + 44798.

It is an arithmetic number, because the mean of its divisors is an integer number (7910487).

Almost surely, 2^105357030 is an apocalyptic number.

105357030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105357030 is an abundant number, since it is smaller than the sum of its proper divisors (147778554).

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

105357030 is a wasteful number, since it uses less digits than its factorization.

105357030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880.

The product of its (nonzero) digits is 1575, while the sum is 24.

The square root of 105357030 is about 10264.3572619039. The cubic root of 105357030 is about 472.3035100254.

The spelling of 105357030 in words is "one hundred five million, three hundred fifty-seven thousand, thirty".