106558579814400 has 3120 divisors, whose sum is σ = 472619573966848. Its totient is φ = 23219011584000.

The previous prime is 106558579814383. The next prime is 106558579814429. The reversal of 106558579814400 is 4418975855601.

106558579814400 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 8 + 579 + 8 + 14 + 40 + 0 = 666.

It is a super-2 number, since 2×106558579814400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 131391589995 + ... + 131391590805.

Almost surely, 2^{106558579814400} is an apocalyptic number.

106558579814400 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 106558579814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236309786983424).

106558579814400 is an abundant number, since it is smaller than the sum of its proper divisors (366060994152448).

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

106558579814400 is an equidigital number, since it uses as much as digits as its factorization.

106558579814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 106558579814400 in words is "one hundred six trillion, five hundred fifty-eight billion, five hundred seventy-nine million, eight hundred fourteen thousand, four hundred".