105886472 has 32 divisors (see below), whose sum is σ = 212284800. Its totient is φ = 49338624.

The previous prime is 105886471. The next prime is 105886513. The reversal of 105886472 is 274688501.

It is a super-2 number, since 2×105886472² = 22423889905213568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105886471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10229 + ... + 17787.

It is an arithmetic number, because the mean of its divisors is an integer number (6633900).

Almost surely, 2^105886472 is an apocalyptic number.

It is an amenable number.

105886472 is an abundant number, since it is smaller than the sum of its proper divisors (106398328).

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

105886472 is a wasteful number, since it uses less digits than its factorization.

105886472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7681 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 105886472 is about 10290.1152568861. The cubic root of 105886472 is about 473.0933311264.

The spelling of 105886472 in words is "one hundred five million, eight hundred eighty-six thousand, four hundred seventy-two".