13106357640 has 96 divisors (see below), whose sum is σ = 42714734400. Its totient is φ = 3485258880.

The previous prime is 13106357639. The next prime is 13106357669. The reversal of 13106357640 is 4675360131.

13106357640 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 6 + 3 + 5 + 7 + 640 = 666.

It is a super-2 number, since 2×13106357640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13106357595 and 13106357604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78535 + ... + 179945.

It is an arithmetic number, because the mean of its divisors is an integer number (444945150).

Almost surely, 2^13106357640 is an apocalyptic number.

13106357640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13106357640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21357367200).

13106357640 is an abundant number, since it is smaller than the sum of its proper divisors (29608376760).

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

13106357640 is a wasteful number, since it uses less digits than its factorization.

13106357640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101787 (or 101780 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13106357640 in words is "thirteen billion, one hundred six million, three hundred fifty-seven thousand, six hundred forty".