10109659025761 has 9 divisors (see below), whose sum is σ = 10284104250193. Its totient is φ = 9938124457780.

The previous prime is 10109659025743. The next prime is 10109659025779. The reversal of 10109659025761 is 16752095690101.

The square root of 10109659025761 is 3179569.

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 (10109659025743) and next prime (10109659025779).

It is not a de Polignac number, because 10109659025761 - 2²⁵ = 10109625471329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10109659025699 and 10109659025708.

It is not an unprimeable number, because it can be changed into a prime (10109659725761) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 187567626 + ... + 187621516.

Almost surely, 2^{10109659025761} is an apocalyptic number.

10109659025761 is the 3179569-th square number.

10109659025761 is the 1589785-th centered octagonal number.

It is an amenable number.

10109659025761 is a deficient number, since it is larger than the sum of its proper divisors (174445224432).

10109659025761 is an frugal number, since it uses more digits than its factorization.

10109659025761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107900 (or 53950 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 52.

The spelling of 10109659025761 in words is "ten trillion, one hundred nine billion, six hundred fifty-nine million, twenty-five thousand, seven hundred sixty-one".