99905652 has 144 divisors (see below), whose sum is σ = 328753152. Its totient is φ = 24805440.

The previous prime is 99905633. The next prime is 99905669. The reversal of 99905652 is 25650999.

It is a super-2 number, since 2×99905652² = 19962278603090208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99905598 and 99905607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62973 + ... + 64539.

It is an arithmetic number, because the mean of its divisors is an integer number (2283008).

Almost surely, 2^99905652 is an apocalyptic number.

99905652 is a gapful number since it is divisible by the number (92) 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 99905652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164376576).

99905652 is an abundant number, since it is smaller than the sum of its proper divisors (228847500).

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

99905652 is a wasteful number, since it uses less digits than its factorization.

99905652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 99905652 is about 9995.2814867817. The cubic root of 99905652 is about 464.0128625547.

The spelling of 99905652 in words is "ninety-nine million, nine hundred five thousand, six hundred fifty-two".