106861977118400 has 336 divisors, whose sum is σ = 303681372856512. Its totient is φ = 36252057600000.

The previous prime is 106861977118397. The next prime is 106861977118427. The reversal of 106861977118400 is 4811779168601.

It is a super-2 number, since 2×106861977118400² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106861977118400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5976277460 + ... + 5976295340.

It is an arithmetic number, because the mean of its divisors is an integer number (903813609692).

Almost surely, 2^{106861977118400} is an apocalyptic number.

106861977118400 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 106861977118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151840686428256).

106861977118400 is an abundant number, since it is smaller than the sum of its proper divisors (196819395738112).

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

106861977118400 is a wasteful number, since it uses less digits than its factorization.

106861977118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23508 (or 23493 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 59.

The spelling of 106861977118400 in words is "one hundred six trillion, eight hundred sixty-one billion, nine hundred seventy-seven million, one hundred eighteen thousand, four hundred".