9905165375 has 16 divisors (see below), whose sum is σ = 14127597120. Its totient is φ = 6792112800.

The previous prime is 9905165371. The next prime is 9905165429. The reversal of 9905165375 is 5735615099.

It is not a de Polignac number, because 9905165375 - 2² = 9905165371 is a prime.

It is a super-3 number, since 3×9905165375³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9905165371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5659220 + ... + 5660969.

It is an arithmetic number, because the mean of its divisors is an integer number (882974820).

Almost surely, 2^9905165375 is an apocalyptic number.

9905165375 is a deficient number, since it is larger than the sum of its proper divisors (4222431745).

9905165375 is a wasteful number, since it uses less digits than its factorization.

9905165375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11320211 (or 11320201 counting only the distinct ones).

The product of its (nonzero) digits is 1275750, while the sum is 50.

The square root of 9905165375 is about 99524.6973117728. The cubic root of 9905165375 is about 2147.6025466438.

The spelling of 9905165375 in words is "nine billion, nine hundred five million, one hundred sixty-five thousand, three hundred seventy-five".