105713187 has 8 divisors (see below), whose sum is σ = 141066240. Its totient is φ = 70417800.

The previous prime is 105713141. The next prime is 105713197. The reversal of 105713187 is 781317501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105713187 - 2⁷ = 105713059 is a prime.

It is a super-2 number, since 2×105713187² = 22350555811393938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105713197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9939 + ... + 17612.

It is an arithmetic number, because the mean of its divisors is an integer number (17633280).

Almost surely, 2^105713187 is an apocalyptic number.

105713187 is a deficient number, since it is larger than the sum of its proper divisors (35353053).

105713187 is a wasteful number, since it uses less digits than its factorization.

105713187 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28833.

The product of its (nonzero) digits is 5880, while the sum is 33.

The square root of 105713187 is about 10281.6918354909. The cubic root of 105713187 is about 472.8351151409.

The spelling of 105713187 in words is "one hundred five million, seven hundred thirteen thousand, one hundred eighty-seven".