105117950 has 48 divisors (see below), whose sum is σ = 224583840. Its totient is φ = 35857920.

The previous prime is 105117917. The next prime is 105117967. The reversal of 105117950 is 59711501.

It is a super-2 number, since 2×105117950² = 22099566824405000, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80906 + ... + 82194.

It is an arithmetic number, because the mean of its divisors is an integer number (4678830).

Almost surely, 2^105117950 is an apocalyptic number.

105117950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105117950 is an abundant number, since it is smaller than the sum of its proper divisors (119465890).

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

105117950 is a wasteful number, since it uses less digits than its factorization.

105117950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 29.

The square root of 105117950 is about 10252.7045212471. The cubic root of 105117950 is about 471.9459833569.

The spelling of 105117950 in words is "one hundred five million, one hundred seventeen thousand, nine hundred fifty".