107194034025 has 243 divisors, whose sum is σ = 220351613391. Its totient is φ = 49786513920.

The previous prime is 107194033951. The next prime is 107194034033. The reversal of 107194034025 is 520430491701.

The square root of 107194034025 is 327405.

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

107194034025 is a `hidden beast` number, since 107 + 194 + 0 + 340 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 96538839849 + 10655194176 = 310707^2 + 103224^2 .

It is not a de Polignac number, because 107194034025 - 2¹⁹ = 107193509737 is a prime.

It is a super-2 number, since 2×107194034025² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1468411389 + ... + 1468411461.

Almost surely, 2^107194034025 is an apocalyptic number.

107194034025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107194034025 is the 327405-th square number.

107194034025 is the 163703-rd centered octagonal number.

It is an amenable number.

107194034025 is an abundant number, since it is smaller than the sum of its proper divisors (113157579366).

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

107194034025 is a wasteful number, since it uses less digits than its factorization.

107194034025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 107194034025 by its sum of digits (36), we get a square (3858985224900 = 1964430²).

The spelling of 107194034025 in words is "one hundred seven billion, one hundred ninety-four million, thirty-four thousand, twenty-five".