970791416100 has 108 divisors (see below), whose sum is σ = 3319518318480. Its totient is φ = 235343371200.

The previous prime is 970791416093. The next prime is 970791416129. The reversal of 970791416100 is 1614197079.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49019970 + ... + 49039769.

Almost surely, 2^970791416100 is an apocalyptic number.

970791416100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

970791416100 is an abundant number, since it is smaller than the sum of its proper divisors (2348726902380).

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

970791416100 is a wasteful number, since it uses less digits than its factorization.

970791416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98059770 (or 98059760 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 970791416100 in words is "nine hundred seventy billion, seven hundred ninety-one million, four hundred sixteen thousand, one hundred".