10159187273104 has 45 divisors (see below), whose sum is σ = 19731885959331. Its totient is φ = 5067118356480.

The previous prime is 10159187273089. The next prime is 10159187273119. The reversal of 10159187273104 is 40137278195101.

It is a happy number.

The square root of 10159187273104 is 3187348.

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 (10159187273089) and next prime (10159187273119).

It can be written as a sum of positive squares in 4 ways, for example, as 3784814611600 + 6374372661504 = 1945460^2 + 2524752^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7356398494 + ... + 7356399874.

Almost surely, 2^{10159187273104} is an apocalyptic number.

10159187273104 is the 3187348-th square number.

It is an amenable number.

10159187273104 is a deficient number, since it is larger than the sum of its proper divisors (9572698686227).

10159187273104 is an frugal number, since it uses more digits than its factorization.

10159187273104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 49.

Multiplying 10159187273104 by its sum of digits (49), we get a square (497800176382096 = 22311436²).

The spelling of 10159187273104 in words is "ten trillion, one hundred fifty-nine billion, one hundred eighty-seven million, two hundred seventy-three thousand, one hundred four".