106313412 has 24 divisors (see below), whose sum is σ = 251560512. Its totient is φ = 34938400.

The previous prime is 106313411. The next prime is 106313413. The reversal of 106313412 is 214313601.

It is an interprime number because it is at equal distance from previous prime (106313411) and next prime (106313413).

It is a super-2 number, since 2×106313412² = 22605083142163488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106313411) 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, 61539 + ... + 63242.

It is an arithmetic number, because the mean of its divisors is an integer number (10481688).

Almost surely, 2^106313412 is an apocalyptic number.

106313412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106313412 is an abundant number, since it is smaller than the sum of its proper divisors (145247100).

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

106313412 is a wasteful number, since it uses less digits than its factorization.

106313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124859 (or 124857 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 106313412 is about 10310.8395390482. The cubic root of 106313412 is about 473.7283244400.

The spelling of 106313412 in words is "one hundred six million, three hundred thirteen thousand, four hundred twelve".