106786860 has 48 divisors (see below), whose sum is σ = 316594656. Its totient is φ = 26801152.

The previous prime is 106786853. The next prime is 106786879. The reversal of 106786860 is 68687601.

It is a super-2 number, since 2×106786860² = 22806866937319200, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 51327 + ... + 53366.

It is an arithmetic number, because the mean of its divisors is an integer number (6595722).

Almost surely, 2^106786860 is an apocalyptic number.

106786860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106786860 is an abundant number, since it is smaller than the sum of its proper divisors (209807796).

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

106786860 is a wasteful number, since it uses less digits than its factorization.

106786860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104722 (or 104720 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 106786860 is about 10333.7727863545. The cubic root of 106786860 is about 474.4305049265.

The spelling of 106786860 in words is "one hundred six million, seven hundred eighty-six thousand, eight hundred sixty".