9917101506 has 96 divisors (see below), whose sum is σ = 21958594560. Its totient is φ = 2983780800.

The previous prime is 9917101499. The next prime is 9917101529. The reversal of 9917101506 is 6051017199.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10006671 + ... + 10007661.

It is an arithmetic number, because the mean of its divisors is an integer number (228735360).

Almost surely, 2^9917101506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9917101506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10979297280).

9917101506 is an abundant number, since it is smaller than the sum of its proper divisors (12041493054).

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

9917101506 is a wasteful number, since it uses less digits than its factorization.

9917101506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 39.

The square root of 9917101506 is about 99584.6449308326. The cubic root of 9917101506 is about 2148.4648501171.

The spelling of 9917101506 in words is "nine billion, nine hundred seventeen million, one hundred one thousand, five hundred six".