99735705 has 96 divisors (see below), whose sum is σ = 193729536. Its totient is φ = 49097664.

The previous prime is 99735689. The next prime is 99735707. The reversal of 99735705 is 50753799.

It is a happy number.

99735705 is a `hidden beast` number, since 9 + 9 + 73 + 570 + 5 = 666.

Together with 93993830 it forms a betrothed pair.

It is not a de Polignac number, because 99735705 - 2⁴ = 99735689 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (99735707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1201594 + ... + 1201676.

It is an arithmetic number, because the mean of its divisors is an integer number (2018016).

Almost surely, 2^99735705 is an apocalyptic number.

It is an amenable number.

99735705 is a deficient number, since it is larger than the sum of its proper divisors (93993831).

99735705 is a wasteful number, since it uses less digits than its factorization.

99735705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 297675, while the sum is 45.

The square root of 99735705 is about 9986.7765069616. The cubic root of 99735705 is about 463.7496063427.

The spelling of 99735705 in words is "ninety-nine million, seven hundred thirty-five thousand, seven hundred five".