106405856 has 24 divisors (see below), whose sum is σ = 221810400. Its totient is φ = 50073088.

The previous prime is 106405841. The next prime is 106405861. The reversal of 106405856 is 658504601.

It is a happy number.

It is a super-2 number, since 2×106405856² = 22644412382185472, 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 3 ways as a sum of consecutive naturals, for example, 97256 + ... + 98343.

It is an arithmetic number, because the mean of its divisors is an integer number (9242100).

Almost surely, 2^106405856 is an apocalyptic number.

106405856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106405856 is an abundant number, since it is smaller than the sum of its proper divisors (115404544).

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

106405856 is a wasteful number, since it uses less digits than its factorization.

106405856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195626 (or 195618 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 106405856 is about 10315.3214201013. The cubic root of 106405856 is about 473.8655935864.

The spelling of 106405856 in words is "one hundred six million, four hundred five thousand, eight hundred fifty-six".