10306080225 has 96 divisors (see below), whose sum is σ = 22776320000. Its totient is φ = 4463346240.

The previous prime is 10306080217. The next prime is 10306080227. The reversal of 10306080225 is 52208060301.

10306080225 is a `hidden beast` number, since 1 + 0 + 30 + 608 + 0 + 2 + 25 = 666.

It is not a de Polignac number, because 10306080225 - 2³ = 10306080217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10306080227) 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, 32376 + ... + 147174.

Almost surely, 2^10306080225 is an apocalyptic number.

10306080225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10306080225 is an abundant number, since it is smaller than the sum of its proper divisors (12470239775).

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

10306080225 is a wasteful number, since it uses less digits than its factorization.

10306080225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114844 (or 114833 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10306080225 in words is "ten billion, three hundred six million, eighty thousand, two hundred twenty-five".