106606160640 has 1008 divisors, whose sum is σ = 461116588800. Its totient is φ = 23057768448.

The previous prime is 106606160627. The next prime is 106606160651. The reversal of 106606160640 is 46061606601.

106606160640 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 6 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106606160640² (a number of 23 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 = 106606160595 and 106606160604.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 124104531 + ... + 124105389.

Almost surely, 2^106606160640 is an apocalyptic number.

106606160640 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 106606160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230558294400).

106606160640 is an abundant number, since it is smaller than the sum of its proper divisors (354510428160).

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

106606160640 is an frugal number, since it uses more digits than its factorization.

106606160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 106606160640 in words is "one hundred six billion, six hundred six million, one hundred sixty thousand, six hundred forty".