10337736105225 has 81 divisors (see below), whose sum is σ = 18786719128359. Its totient is φ = 5434004368800.

The previous prime is 10337736105217. The next prime is 10337736105233. The reversal of 10337736105225 is 52250163773301.

The square root of 10337736105225 is 3215235.

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

10337736105225 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 7 + 7 + 3 + 610 + 5 + 2 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (10337736105217) and next prime (10337736105233).

It can be written as a sum of positive squares in only one way, i.e., 3721584997881 + 6616151107344 = 1929141^2 + 2572188^2 .

It is not a de Polignac number, because 10337736105225 - 2³ = 10337736105217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3424223766 + ... + 3424226784.

Almost surely, 2^{10337736105225} is an apocalyptic number.

10337736105225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10337736105225 is the 3215235-th square number.

10337736105225 is the 1607618-th centered octagonal number.

It is an amenable number.

10337736105225 is a deficient number, since it is larger than the sum of its proper divisors (8448983023134).

10337736105225 is an frugal number, since it uses more digits than its factorization.

10337736105225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6196 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

Adding to 10337736105225 its reverse (52250163773301), we get a palindrome (62587899878526).

The spelling of 10337736105225 in words is "ten trillion, three hundred thirty-seven billion, seven hundred thirty-six million, one hundred five thousand, two hundred twenty-five".