106608057300 has 108 divisors (see below), whose sum is σ = 334769469216. Its totient is φ = 28376712000.

The previous prime is 106608057293. The next prime is 106608057317. The reversal of 106608057300 is 3750806601.

106608057300 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 0 + 80 + 573 + 0 + 0 = 666.

It is a super-2 number, since 2×106608057300² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384025 + ... + 600575.

Almost surely, 2^106608057300 is an apocalyptic number.

106608057300 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 106608057300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167384734608).

106608057300 is an abundant number, since it is smaller than the sum of its proper divisors (228161411916).

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

106608057300 is a wasteful number, since it uses less digits than its factorization.

106608057300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217118 (or 217108 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 106608057300 in words is "one hundred six billion, six hundred eight million, fifty-seven thousand, three hundred".