105864290 has 32 divisors (see below), whose sum is σ = 221477760. Its totient is φ = 35679744.

The previous prime is 105864277. The next prime is 105864293. The reversal of 105864290 is 92468501.

It is a super-2 number, since 2×105864290² = 22414495794408200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 105864290.

It is not an unprimeable number, because it can be changed into a prime (105864293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8687 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (6921180).

Almost surely, 2^105864290 is an apocalyptic number.

105864290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105864290 is an abundant number, since it is smaller than the sum of its proper divisors (115613470).

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

105864290 is a wasteful number, since it uses less digits than its factorization.

105864290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25706.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 105864290 is about 10289.0373699389. The cubic root of 105864290 is about 473.0602929457.

The spelling of 105864290 in words is "one hundred five million, eight hundred sixty-four thousand, two hundred ninety".