99903929400 has 1152 divisors, whose sum is σ = 400114391040. Its totient is φ = 22104576000.

The previous prime is 99903929353. The next prime is 99903929413. The reversal of 99903929400 is 492930999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1203661759 + ... + 1203661841.

It is an arithmetic number, because the mean of its divisors is an integer number (347321520).

Almost surely, 2^99903929400 is an apocalyptic number.

99903929400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99903929400 is the 258075-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99903929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200057195520).

99903929400 is an abundant number, since it is smaller than the sum of its proper divisors (300210461640).

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

99903929400 is a wasteful number, since it uses less digits than its factorization.

99903929400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 99903929400 in words is "ninety-nine billion, nine hundred three million, nine hundred twenty-nine thousand, four hundred".