109663634025 has 189 divisors, whose sum is σ = 225110147367. Its totient is φ = 52931815200.

The previous prime is 109663633991. The next prime is 109663634027. The reversal of 109663634025 is 520436366901.

The square root of 109663634025 is 331155.

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

109663634025 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 6 + 3 + 634 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39478908249 + 70184725776 = 198693^2 + 264924^2 .

It is not a de Polignac number, because 109663634025 - 2¹³ = 109663625833 is a prime.

It is a super-2 number, since 2×109663634025² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (109663634027) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 491765064 + ... + 491765286.

Almost surely, 2^109663634025 is an apocalyptic number.

109663634025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

109663634025 is the 331155-th square number.

109663634025 is the 165578-th centered octagonal number.

It is an amenable number.

109663634025 is an abundant number, since it is smaller than the sum of its proper divisors (115446513342).

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

109663634025 is an frugal number, since it uses more digits than its factorization.

109663634025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 109663634025 in words is "one hundred nine billion, six hundred sixty-three million, six hundred thirty-four thousand, twenty-five".