107442838186992 has 2400 divisors, whose sum is σ = 454049713244160. Its totient is φ = 24078974976000.

The previous prime is 107442838186969. The next prime is 107442838187123. The reversal of 107442838186992 is 299681838244701.

It is a happy number.

107442838186992 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 428 + 38 + 1 + 86 + 9 + 92 = 666.

It is a super-2 number, since 2×107442838186992² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107442838186992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 6994513392 + ... + 6994528752.

Almost surely, 2^{107442838186992} is an apocalyptic number.

107442838186992 is a gapful number since it is divisible by the number (12) 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 107442838186992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227024856622080).

107442838186992 is an abundant number, since it is smaller than the sum of its proper divisors (346606875057168).

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

107442838186992 is a wasteful number, since it uses less digits than its factorization.

107442838186992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15473 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 107442838186992 in words is "one hundred seven trillion, four hundred forty-two billion, eight hundred thirty-eight million, one hundred eighty-six thousand, nine hundred ninety-two".