99935136 has 144 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 27039744.

The previous prime is 99935107. The next prime is 99935149. The reversal of 99935136 is 63153999.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 99935091 and 99935100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37000 + ... + 39608.

It is an arithmetic number, because the mean of its divisors is an integer number (2375100).

Almost surely, 2^99935136 is an apocalyptic number.

99935136 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 99935136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

99935136 is an abundant number, since it is smaller than the sum of its proper divisors (242079264).

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

99935136 is a wasteful number, since it uses less digits than its factorization.

99935136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2640 counting only the distinct ones).

The product of its digits is 196830, while the sum is 45.

The square root of 99935136 is about 9996.7562739121. The cubic root of 99935136 is about 464.0585043155.

It can be divided in two parts, 9993 and 5136, that added together give a square (15129 = 123²).

The spelling of 99935136 in words is "ninety-nine million, nine hundred thirty-five thousand, one hundred thirty-six".