10107344432025 has 405 divisors, whose sum is σ = 20186836922637. Its totient is φ = 4999236278400.

The previous prime is 10107344431979. The next prime is 10107344432057. The reversal of 10107344432025 is 52023444370101.

The square root of 10107344432025 is 3179205.

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

10107344432025 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 7 + 3 + 4 + 443 + 202 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76137916761 + 10031206515264 = 275931^2 + 3167208^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a de Polignac number, because none of the positive numbers 2^k-10107344432025 is a prime.

It is a super-2 number, since 2×10107344432025² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 190704611899 + ... + 190704611951.

Almost surely, 2^{10107344432025} is an apocalyptic number.

10107344432025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10107344432025 is the 3179205-th square number.

10107344432025 is the 1589603-rd centered octagonal number.

It is an amenable number.

10107344432025 is a deficient number, since it is larger than the sum of its proper divisors (10079492490612).

10107344432025 is an frugal number, since it uses more digits than its factorization.

10107344432025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Multiplying 10107344432025 by its sum of digits (36), we get a square (363864399552900 = 19075230²).

The spelling of 10107344432025 in words is "ten trillion, one hundred seven billion, three hundred forty-four million, four hundred thirty-two thousand, twenty-five".