97107106037760 has 3072 divisors, whose sum is σ = 439232556672000. Its totient is φ = 20451076079616.

The previous prime is 97107106037759. The next prime is 97107106037813. The reversal of 97107106037760 is 6773060170179.

97107106037760 is a `hidden beast` number, since 9 + 7 + 10 + 7 + 10 + 603 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 97107106037697 and 97107106037706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 177526701807 + ... + 177526702353.

It is an arithmetic number, because the mean of its divisors is an integer number (142979347875).

Almost surely, 2^{97107106037760} is an apocalyptic number.

97107106037760 is a gapful number since it is divisible by the number (90) 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 97107106037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219616278336000).

97107106037760 is an abundant number, since it is smaller than the sum of its proper divisors (342125450634240).

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

97107106037760 is an frugal number, since it uses more digits than its factorization.

97107106037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 97107106037760 in words is "ninety-seven trillion, one hundred seven billion, one hundred six million, thirty-seven thousand, seven hundred sixty".