106164718920 has 96 divisors (see below), whose sum is σ = 371576532600. Its totient is φ = 26132852736.

The previous prime is 106164718861. The next prime is 106164718951. The reversal of 106164718920 is 29817461601.

106164718920 is a `hidden beast` number, since 1 + 0 + 616 + 4 + 7 + 1 + 8 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93485508516 + 12679210404 = 305754^2 + 112602^2 .

It is a super-2 number, since 2×106164718920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 11337705 + ... + 11347064.

Almost surely, 2^106164718920 is an apocalyptic number.

106164718920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106164718920 is an abundant number, since it is smaller than the sum of its proper divisors (265411813680).

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

106164718920 is a wasteful number, since it uses less digits than its factorization.

106164718920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22684799 (or 22684792 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 106164718920 in words is "one hundred six billion, one hundred sixty-four million, seven hundred eighteen thousand, nine hundred twenty".