106957946880 has 540 divisors, whose sum is σ = 386952056400. Its totient is φ = 28378791936.

The previous prime is 106957946831. The next prime is 106957946899. The reversal of 106957946880 is 88649759601.

106957946880 is a `hidden beast` number, since 1 + 0 + 6 + 95 + 7 + 9 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×106957946880² (a number of 23 digits) contains 22 as substring.

It is a zygodrome in base 2.

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, 537477021 + ... + 537477219.

Almost surely, 2^106957946880 is an apocalyptic number.

106957946880 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 106957946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193476028200).

106957946880 is an abundant number, since it is smaller than the sum of its proper divisors (279994109520).

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

106957946880 is an frugal number, since it uses more digits than its factorization.

106957946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 106957946880 in words is "one hundred six billion, nine hundred fifty-seven million, nine hundred forty-six thousand, eight hundred eighty".