105120950 has 48 divisors (see below), whose sum is σ = 215075520. Its totient is φ = 37908000.

The previous prime is 105120943. The next prime is 105120991. The reversal of 105120950 is 59021501.

It is a super-2 number, since 2×105120950² = 22100828257805000, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

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, 71321 + ... + 72779.

It is an arithmetic number, because the mean of its divisors is an integer number (4480740).

Almost surely, 2^105120950 is an apocalyptic number.

105120950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105120950 is an abundant number, since it is smaller than the sum of its proper divisors (109954570).

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

105120950 is a wasteful number, since it uses less digits than its factorization.

105120950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 105120950 is about 10252.8508230638. The cubic root of 105120950 is about 471.9504729944.

The spelling of 105120950 in words is "one hundred five million, one hundred twenty thousand, nine hundred fifty".