105268290 has 32 divisors (see below), whose sum is σ = 255847680. Its totient is φ = 27715584.

The previous prime is 105268277. The next prime is 105268337. The reversal of 105268290 is 92862501.

It is a super-2 number, since 2×105268290² = 22162825759048200, 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, 19839 + ... + 24578.

It is an arithmetic number, because the mean of its divisors is an integer number (7995240).

Almost surely, 2^105268290 is an apocalyptic number.

105268290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105268290 is an abundant number, since it is smaller than the sum of its proper divisors (150579390).

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

105268290 is a wasteful number, since it uses less digits than its factorization.

105268290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44506.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 105268290 is about 10260.0336256759. The cubic root of 105268290 is about 472.1708690228.

The spelling of 105268290 in words is "one hundred five million, two hundred sixty-eight thousand, two hundred ninety".