105559090 has 48 divisors (see below), whose sum is σ = 235165248. Its totient is φ = 33403968.

The previous prime is 105559087. The next prime is 105559147. The reversal of 105559090 is 90955501.

It is a super-2 number, since 2×105559090² = 22285442963256200, 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, 7369 + ... + 16291.

It is an arithmetic number, because the mean of its divisors is an integer number (4899276).

Almost surely, 2^105559090 is an apocalyptic number.

105559090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105559090 is an abundant number, since it is smaller than the sum of its proper divisors (129606158).

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

105559090 is a wasteful number, since it uses less digits than its factorization.

105559090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8963 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 34.

The square root of 105559090 is about 10274.1953456220. The cubic root of 105559090 is about 472.6052544928.

The spelling of 105559090 in words is "one hundred five million, five hundred fifty-nine thousand, ninety".