105737287198720 has 768 divisors, whose sum is σ = 285672362976000. Its totient is φ = 37389594525696.

The previous prime is 105737287198687. The next prime is 105737287198793. The reversal of 105737287198720 is 27891782737501.

It is a super-2 number, since 2×105737287198720² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23533780794 + ... + 23533785286.

It is an arithmetic number, because the mean of its divisors is an integer number (371969222625).

Almost surely, 2^{105737287198720} is an apocalyptic number.

105737287198720 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 105737287198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142836181488000).

105737287198720 is an abundant number, since it is smaller than the sum of its proper divisors (179935075777280).

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

105737287198720 is a wasteful number, since it uses less digits than its factorization.

105737287198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 67.

The spelling of 105737287198720 in words is "one hundred five trillion, seven hundred thirty-seven billion, two hundred eighty-seven million, one hundred ninety-eight thousand, seven hundred twenty".