99106560 has 216 divisors, whose sum is σ = 392202720. Its totient is φ = 22634496.

The previous prime is 99106547. The next prime is 99106561. The reversal of 99106560 is 6560199.

99106560 is a `hidden beast` number, since 9 + 91 + 0 + 6 + 560 = 666.

It is a super-2 number, since 2×99106560² = 19644220470067200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99106561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80026 + ... + 81254.

Almost surely, 2^99106560 is an apocalyptic number.

99106560 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 99106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196101360).

99106560 is an abundant number, since it is smaller than the sum of its proper divisors (293096160).

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

99106560 is a wasteful number, since it uses less digits than its factorization.

99106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 99106560 is about 9955.2277723817. The cubic root of 99106560 is about 462.7724190083.

The spelling of 99106560 in words is "ninety-nine million, one hundred six thousand, five hundred sixty".