106313640 has 32 divisors (see below), whose sum is σ = 318941280. Its totient is φ = 28350272.

The previous prime is 106313639. The next prime is 106313651. The reversal of 106313640 is 46313601.

It is a super-2 number, since 2×106313640² = 22605180100099200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106313640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442854 + ... + 443093.

It is an arithmetic number, because the mean of its divisors is an integer number (9966915).

Almost surely, 2^106313640 is an apocalyptic number.

106313640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106313640 is an abundant number, since it is smaller than the sum of its proper divisors (212627640).

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

106313640 is a wasteful number, since it uses less digits than its factorization.

106313640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885961 (or 885957 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 106313640 is about 10310.8505953680. The cubic root of 106313640 is about 473.7286630927.

It can be divided in two parts, 106313 and 640, that added together give a triangular number (106953 = T₄₆₂).

The spelling of 106313640 in words is "one hundred six million, three hundred thirteen thousand, six hundred forty".