99903900096 has 1344 divisors, whose sum is σ = 414075432960. Its totient is φ = 23201095680.

The previous prime is 99903900053. The next prime is 99903900097. The reversal of 99903900096 is 69000930999.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99903900097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 447999441 + ... + 447999663.

It is an arithmetic number, because the mean of its divisors is an integer number (308091840).

Almost surely, 2^99903900096 is an apocalyptic number.

99903900096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99903900096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207037716480).

99903900096 is an abundant number, since it is smaller than the sum of its proper divisors (314171532864).

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

99903900096 is a wasteful number, since it uses less digits than its factorization.

99903900096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

It can be divided in two parts, 99903 and 900096, that added together give a palindrome (999999).

The spelling of 99903900096 in words is "ninety-nine billion, nine hundred three million, nine hundred thousand, ninety-six".