1107891225 has 81 divisors (see below), whose sum is σ = 2315637597. Its totient is φ = 504866880.

The previous prime is 1107891167. The next prime is 1107891247. The reversal of 1107891225 is 5221987011.

It is a happy number.

The square root of 1107891225 is 33285.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 447195609 + 660695616 = 21147^2 + 25704^2 .

It is not a de Polignac number, because 1107891225 - 2¹³ = 1107883033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1107891225.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3494767 + ... + 3495083.

Almost surely, 2^1107891225 is an apocalyptic number.

1107891225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1107891225 is the 33285-th square number.

1107891225 is the 16643-rd centered octagonal number.

It is an amenable number.

1107891225 is an abundant number, since it is smaller than the sum of its proper divisors (1207746372).

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

1107891225 is an equidigital number, since it uses as much as digits as its factorization.

1107891225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The cubic root of 1107891225 is about 1034.7427071708.

Multiplying 1107891225 by its sum of digits (36), we get a square (39884084100 = 199710²).

The spelling of 1107891225 in words is "one billion, one hundred seven million, eight hundred ninety-one thousand, two hundred twenty-five".