106313692240 has 80 divisors (see below), whose sum is σ = 283300617600. Its totient is φ = 36345899520.

The previous prime is 106313692169. The next prime is 106313692241. The reversal of 106313692240 is 42296313601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106313692240² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106313692240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106313692241) 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 15 ways as a sum of consecutive naturals, for example, 76546 + ... + 467425.

It is an arithmetic number, because the mean of its divisors is an integer number (3541257720).

Almost surely, 2^106313692240 is an apocalyptic number.

106313692240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106313692240 is an abundant number, since it is smaller than the sum of its proper divisors (176986925360).

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

106313692240 is a wasteful number, since it uses less digits than its factorization.

106313692240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544340 (or 544334 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 106313692240 in words is "one hundred six billion, three hundred thirteen million, six hundred ninety-two thousand, two hundred forty".