1160105625 has 240 divisors, whose sum is σ = 2649651840. Its totient is φ = 498960000.

The previous prime is 1160105593. The next prime is 1160105633. The reversal of 1160105625 is 5265010611.

It is a happy number.

1160105625 is a `hidden beast` number, since 1 + 1 + 601 + 0 + 56 + 2 + 5 = 666.

It is not a de Polignac number, because 1160105625 - 2⁵ = 1160105593 is a prime.

It is a super-2 number, since 2×1160105625² = 2691690122313281250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 19018095 + ... + 19018155.

It is an arithmetic number, because the mean of its divisors is an integer number (11040216).

Almost surely, 2^1160105625 is an apocalyptic number.

1160105625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1160105625 is an abundant number, since it is smaller than the sum of its proper divisors (1489546215).

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

1160105625 is an equidigital number, since it uses as much as digits as its factorization.

1160105625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1160105625 is about 34060.3233249480. The cubic root of 1160105625 is about 1050.7494649226.

The spelling of 1160105625 in words is "one billion, one hundred sixty million, one hundred five thousand, six hundred twenty-five".