10111672225 has 96 divisors (see below), whose sum is σ = 14113382400. Its totient is φ = 7155993600.

The previous prime is 10111672223. The next prime is 10111672279. The reversal of 10111672225 is 52227611101.

It is not a de Polignac number, because 10111672225 - 2¹ = 10111672223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10111672193 and 10111672202.

It is not an unprimeable number, because it can be changed into a prime (10111672223) 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, 89483769 + ... + 89483881.

It is an arithmetic number, because the mean of its divisors is an integer number (147014400).

Almost surely, 2^10111672225 is an apocalyptic number.

It is an amenable number.

10111672225 is a deficient number, since it is larger than the sum of its proper divisors (4001710175).

10111672225 is a wasteful number, since it uses less digits than its factorization.

10111672225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The spelling of 10111672225 in words is "ten billion, one hundred eleven million, six hundred seventy-two thousand, two hundred twenty-five".