99929700 has 270 divisors, whose sum is σ = 355572294. Its totient is φ = 24261120.

The previous prime is 99929693. The next prime is 99929717. The reversal of 99929700 is 792999.

It can be written as a sum of positive squares in 9 ways, for example, as 60466176 + 39463524 = 7776^2 + 6282^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1368864 + ... + 1368936.

Almost surely, 2^99929700 is an apocalyptic number.

99929700 is a gapful number since it is divisible by the number (90) 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 99929700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177786147).

99929700 is an abundant number, since it is smaller than the sum of its proper divisors (255642594).

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

99929700 is a wasteful number, since it uses less digits than its factorization.

99929700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 99929700 is about 9996.4843820215. The cubic root of 99929700 is about 464.0500899650.

The spelling of 99929700 in words is "ninety-nine million, nine hundred twenty-nine thousand, seven hundred".