99981965700 has 432 divisors, whose sum is σ = 347467760640. Its totient is φ = 23933952000.

The previous prime is 99981965647. The next prime is 99981965711. The reversal of 99981965700 is 756918999.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33673816 + ... + 33676784.

It is an arithmetic number, because the mean of its divisors is an integer number (804323520).

Almost surely, 2^99981965700 is an apocalyptic number.

99981965700 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99981965700 is the 158100-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99981965700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173733880320).

99981965700 is an abundant number, since it is smaller than the sum of its proper divisors (247485794940).

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

99981965700 is a wasteful number, since it uses less digits than its factorization.

99981965700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3108 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 99981965700 in words is "ninety-nine billion, nine hundred eighty-one million, nine hundred sixty-five thousand, seven hundred".