107164107340 has 36 divisors (see below), whose sum is σ = 239061258576. Its totient is φ = 40344132352.

The previous prime is 107164107329. The next prime is 107164107343. The reversal of 107164107340 is 43701461701.

It is a super-2 number, since 2×107164107340² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 107164107296 and 107164107305.

It is not an unprimeable number, because it can be changed into a prime (107164107343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9264472 + ... + 9276031.

It is an arithmetic number, because the mean of its divisors is an integer number (6640590516).

Almost surely, 2^107164107340 is an apocalyptic number.

107164107340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107164107340 is an abundant number, since it is smaller than the sum of its proper divisors (131897151236).

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

107164107340 is a wasteful number, since it uses less digits than its factorization.

107164107340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18540546 (or 18540527 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 107164107340 in words is "one hundred seven billion, one hundred sixty-four million, one hundred seven thousand, three hundred forty".