1108903772025 has 135 divisors (see below), whose sum is σ = 2390146956351. Its totient is φ = 506775800160.

The previous prime is 1108903772003. The next prime is 1108903772047. The reversal of 1108903772025 is 5202773098011.

The square root of 1108903772025 is 1053045.

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

It is an interprime number because it is at equal distance from previous prime (1108903772003) and next prime (1108903772047).

It can be written as a sum of positive squares in only one way, i.e., 399205357929 + 709698414096 = 631827^2 + 842436^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1108903772025 - 2⁵ = 1108903771993 is a prime.

It is a super-2 number, since 2×1108903772025² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 331707504 + ... + 331710846.

Almost surely, 2^{1108903772025} is an apocalyptic number.

1108903772025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1108903772025 is the 1053045-th square number.

1108903772025 is the 526523-rd centered octagonal number.

It is an amenable number.

1108903772025 is an abundant number, since it is smaller than the sum of its proper divisors (1281243184326).

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

1108903772025 is an frugal number, since it uses more digits than its factorization.

1108903772025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6722 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1108903772025 in words is "one trillion, one hundred eight billion, nine hundred three million, seven hundred seventy-two thousand, twenty-five".