100737346412160 has 768 divisors, whose sum is σ = 385077834086400. Its totient is φ = 25090939883520.

The previous prime is 100737346412159. The next prime is 100737346412167. The reversal of 100737346412160 is 61214643737001.

100737346412160 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 3 + 7 + 3 + 464 + 121 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100737346412167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209556397 + ... + 210036563.

It is an arithmetic number, because the mean of its divisors is an integer number (501403429800).

Almost surely, 2^{100737346412160} is an apocalyptic number.

100737346412160 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 100737346412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192538917043200).

100737346412160 is an abundant number, since it is smaller than the sum of its proper divisors (284340487674240).

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

100737346412160 is an equidigital number, since it uses as much as digits as its factorization.

100737346412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480291 (or 480267 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 100737346412160 in words is "one hundred trillion, seven hundred thirty-seven billion, three hundred forty-six million, four hundred twelve thousand, one hundred sixty".