105137850 has 24 divisors (see below), whose sum is σ = 260742240. Its totient is φ = 28036720.

The previous prime is 105137821. The next prime is 105137867. The reversal of 105137850 is 58731501.

It is a super-2 number, since 2×105137850² = 22107935005245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350310 + ... + 350609.

It is an arithmetic number, because the mean of its divisors is an integer number (10864260).

Almost surely, 2^105137850 is an apocalyptic number.

105137850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105137850 is an abundant number, since it is smaller than the sum of its proper divisors (155604390).

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

105137850 is a wasteful number, since it uses less digits than its factorization.

105137850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700934 (or 700929 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The square root of 105137850 is about 10253.6749509627. The cubic root of 105137850 is about 471.9757630234.

The spelling of 105137850 in words is "one hundred five million, one hundred thirty-seven thousand, eight hundred fifty".