105532890 has 32 divisors (see below), whose sum is σ = 253984896. Its totient is φ = 28063680.

The previous prime is 105532877. The next prime is 105532913. The reversal of 105532890 is 98235501.

It is a super-2 number, since 2×105532890² = 22274381743504200, which contains 22 as substring.

It is a Curzon 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, 6475 + ... + 15905.

It is an arithmetic number, because the mean of its divisors is an integer number (7937028).

Almost surely, 2^105532890 is an apocalyptic number.

105532890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105532890 is an abundant number, since it is smaller than the sum of its proper divisors (148452006).

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

105532890 is a wasteful number, since it uses less digits than its factorization.

105532890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814.

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 105532890 is about 10272.9202274718. The cubic root of 105532890 is about 472.5661507003.

The spelling of 105532890 in words is "one hundred five million, five hundred thirty-two thousand, eight hundred ninety".