106313712 has 20 divisors (see below), whose sum is σ = 274643880. Its totient is φ = 35437888.

The previous prime is 106313651. The next prime is 106313717. The reversal of 106313712 is 217313601.

It is a super-2 number, since 2×106313712² = 22605210718437888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106313717) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1107387 + ... + 1107482.

It is an arithmetic number, because the mean of its divisors is an integer number (13732194).

Almost surely, 2^106313712 is an apocalyptic number.

106313712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106313712 is an abundant number, since it is smaller than the sum of its proper divisors (168330168).

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

106313712 is a wasteful number, since it uses less digits than its factorization.

106313712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214880 (or 2214874 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 106313712 is about 10310.8540868349. The cubic root of 106313712 is about 473.7287700356.

The spelling of 106313712 in words is "one hundred six million, three hundred thirteen thousand, seven hundred twelve".