105016590 has 48 divisors (see below), whose sum is σ = 312051168. Its totient is φ = 24003648.

The previous prime is 105016589. The next prime is 105016601. The reversal of 105016590 is 95610501.

105016590 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 659 + 0 = 666.

It is a super-2 number, since 2×105016590² = 22056968350456200, 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 23 ways as a sum of consecutive naturals, for example, 82717 + ... + 83976.

It is an arithmetic number, because the mean of its divisors is an integer number (6501066).

Almost surely, 2^105016590 is an apocalyptic number.

105016590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105016590 is an abundant number, since it is smaller than the sum of its proper divisors (207034578).

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

105016590 is a wasteful number, since it uses less digits than its factorization.

105016590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166713 (or 166710 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105016590 is about 10247.7602430970. The cubic root of 105016590 is about 471.7942432448.

The spelling of 105016590 in words is "one hundred five million, sixteen thousand, five hundred ninety".