107838774857025 has 243 divisors, whose sum is σ = 206808855936579. Its totient is φ = 53707869823680.

The previous prime is 107838774856979. The next prime is 107838774857053. The reversal of 107838774857025 is 520758477838701.

The square root of 107838774857025 is 10384545.

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

107838774857025 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 3 + 8 + 7 + 7 + 48 + 570 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38821958948529 + 69016815908496 = 6230727^2 + 8307636^2 .

It is not a de Polignac number, because 107838774857025 - 2¹⁷ = 107838774725953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 245646411756 + ... + 245646412194.

Almost surely, 2^{107838774857025} is an apocalyptic number.

107838774857025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107838774857025 is the 10384545-th square number.

107838774857025 is the 5192273-rd centered octagonal number.

It is an amenable number.

107838774857025 is a deficient number, since it is larger than the sum of its proper divisors (98970081079554).

107838774857025 is an frugal number, since it uses more digits than its factorization.

107838774857025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 737587200, while the sum is 72.

The spelling of 107838774857025 in words is "one hundred seven trillion, eight hundred thirty-eight billion, seven hundred seventy-four million, eight hundred fifty-seven thousand, twenty-five".