9979910100 has 288 divisors, whose sum is σ = 33160794240. Its totient is φ = 2572922880.

The previous prime is 9979910089. The next prime is 9979910107. The reversal of 9979910100 is 10199799.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9979910107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28271524 + ... + 28271876.

Almost surely, 2^9979910100 is an apocalyptic number.

9979910100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a pronic number, being equal to 99899×99900.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9979910100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16580397120).

9979910100 is an abundant number, since it is smaller than the sum of its proper divisors (23180884140).

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

9979910100 is a wasteful number, since it uses less digits than its factorization.

9979910100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 45927, while the sum is 45.

The square root of 9979910100 is about 99899.4999987487. The cubic root of 9979910100 is about 2152.9909768821.

The spelling of 9979910100 in words is "nine billion, nine hundred seventy-nine million, nine hundred ten thousand, one hundred".