106977463396800 has 336 divisors, whose sum is σ = 357847130603520. Its totient is φ = 27969526108160.

The previous prime is 106977463396799. The next prime is 106977463396829. The reversal of 106977463396800 is 8693364779601.

It is a super-2 number, since 2×106977463396800² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 365935489 + ... + 366227711.

Almost surely, 2^{106977463396800} is an apocalyptic number.

106977463396800 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 106977463396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178923565301760).

106977463396800 is an abundant number, since it is smaller than the sum of its proper divisors (250869667206720).

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

106977463396800 is a wasteful number, since it uses less digits than its factorization.

106977463396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293740 (or 293725 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 69.

The spelling of 106977463396800 in words is "one hundred six trillion, nine hundred seventy-seven billion, four hundred sixty-three million, three hundred ninety-six thousand, eight hundred".