102481296129 has 27 divisors (see below), whose sum is σ = 157273364937. Its totient is φ = 64291745664.

The previous prime is 102481296103. The next prime is 102481296131. The reversal of 102481296129 is 921692184201.

It is a happy number.

The square root of 102481296129 is 320127.

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

102481296129 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 8 + 1 + 29 + 612 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65778399729 + 36702896400 = 256473^2 + 191580^2 .

It is not a de Polignac number, because 102481296129 - 2¹⁵ = 102481263361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102481296829) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16323339 + ... + 16329615.

Almost surely, 2^102481296129 is an apocalyptic number.

102481296129 is the 320127-th square number.

102481296129 is the 160064-th centered octagonal number.

It is an amenable number.

102481296129 is a deficient number, since it is larger than the sum of its proper divisors (54792068808).

102481296129 is an frugal number, since it uses more digits than its factorization.

102481296129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12594 (or 6297 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 102481296129 in words is "one hundred two billion, four hundred eighty-one million, two hundred ninety-six thousand, one hundred twenty-nine".