105892290 has 48 divisors (see below), whose sum is σ = 314653248. Its totient is φ = 24203808.

The previous prime is 105892277. The next prime is 105892307. The reversal of 105892290 is 92298501.

It is a super-2 number, since 2×105892290² = 22426354162888200, which contains 22 as substring.

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, 83412 + ... + 84671.

It is an arithmetic number, because the mean of its divisors is an integer number (6555276).

Almost surely, 2^105892290 is an apocalyptic number.

105892290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105892290 is an abundant number, since it is smaller than the sum of its proper divisors (208760958).

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

105892290 is a wasteful number, since it uses less digits than its factorization.

105892290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168103 (or 168100 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 105892290 is about 10290.3979514886. The cubic root of 105892290 is about 473.1019957730.

The spelling of 105892290 in words is "one hundred five million, eight hundred ninety-two thousand, two hundred ninety".