96105607080 has 288 divisors, whose sum is σ = 344727381600. Its totient is φ = 21371503104.

The previous prime is 96105607061. The next prime is 96105607099. The reversal of 96105607080 is 8070650169.

It is an interprime number because it is at equal distance from previous prime (96105607061) and next prime (96105607099).

It is a super-2 number, since 2×96105607080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8043751 + ... + 8055689.

It is an arithmetic number, because the mean of its divisors is an integer number (1196970075).

Almost surely, 2^96105607080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96105607080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172363690800).

96105607080 is an abundant number, since it is smaller than the sum of its proper divisors (248621774520).

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

96105607080 is a wasteful number, since it uses less digits than its factorization.

96105607080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12041 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 96105607080 in words is "ninety-six billion, one hundred five million, six hundred seven thousand, eighty".