107209661832000 has 5376 divisors, whose sum is σ = 522846756956160. Its totient is φ = 21198097612800.

The previous prime is 107209661831971. The next prime is 107209661832023. The reversal of 107209661832000 is 238166902701.

107209661832000 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 0 + 9 + 6 + 618 + 3 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×107209661832000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 460127303884 + ... + 460127304116.

It is an arithmetic number, because the mean of its divisors is an integer number (97255721160).

Almost surely, 2^{107209661832000} is an apocalyptic number.

107209661832000 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 107209661832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261423378478080).

107209661832000 is an abundant number, since it is smaller than the sum of its proper divisors (415637095124160).

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

107209661832000 is an equidigital number, since it uses as much as digits as its factorization.

107209661832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 107209661832000 in words is "one hundred seven trillion, two hundred nine billion, six hundred sixty-one million, eight hundred thirty-two thousand".