105985187 has 24 divisors (see below), whose sum is σ = 138857472. Its totient is φ = 79909200.

The previous prime is 105985177. The next prime is 105985199. The reversal of 105985187 is 781589501.

105985187 = T₃₃₈ + T₃₃₉ + ... + T₈₇₆.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-105985187 is a prime.

It is a super-2 number, since 2×105985187² = 22465719726849938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105985147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13538 + ... + 19880.

It is an arithmetic number, because the mean of its divisors is an integer number (5785728).

Almost surely, 2^105985187 is an apocalyptic number.

105985187 is a deficient number, since it is larger than the sum of its proper divisors (32872285).

105985187 is a wasteful number, since it uses less digits than its factorization.

105985187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6399 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 44.

The square root of 105985187 is about 10294.9107329787. The cubic root of 105985187 is about 473.2403026957.

The spelling of 105985187 in words is "one hundred five million, nine hundred eighty-five thousand, one hundred eighty-seven".