105887712 has 48 divisors (see below), whose sum is σ = 317665152. Its totient is φ = 30253440.

The previous prime is 105887687. The next prime is 105887731. The reversal of 105887712 is 217788501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105887712² = 22424415105189888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78114 + ... + 79457.

It is an arithmetic number, because the mean of its divisors is an integer number (6618024).

Almost surely, 2^105887712 is an apocalyptic number.

105887712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105887712 is an abundant number, since it is smaller than the sum of its proper divisors (211777440).

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

105887712 is a wasteful number, since it uses less digits than its factorization.

105887712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157591 (or 157583 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 39.

The square root of 105887712 is about 10290.1755087073. The cubic root of 105887712 is about 473.0951778635.

The spelling of 105887712 in words is "one hundred five million, eight hundred eighty-seven thousand, seven hundred twelve".