106899580846080 has 2448 divisors, whose sum is σ = 436616064847872. Its totient is φ = 24881607475200.

The previous prime is 106899580846067. The next prime is 106899580846087. The reversal of 106899580846080 is 80648085998601.

106899580846080 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 9 + 5 + 8 + 0 + 8 + 4 + 608 + 0 = 666.

It is a super-2 number, since 2×106899580846080² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (106899580846087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 841728982977 + ... + 841728983103.

Almost surely, 2^{106899580846080} is an apocalyptic number.

106899580846080 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 106899580846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218308032423936).

106899580846080 is an abundant number, since it is smaller than the sum of its proper divisors (329716484001792).

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

106899580846080 is an frugal number, since it uses more digits than its factorization.

106899580846080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 72.

The spelling of 106899580846080 in words is "one hundred six trillion, eight hundred ninety-nine billion, five hundred eighty million, eight hundred forty-six thousand, eighty".