102400147705129 has 8 divisors (see below), whose sum is σ = 103551021854280. Its totient is φ = 101249280460416.

The previous prime is 102400147705127. The next prime is 102400147705147. The reversal of 102400147705129 is 921507741004201.

It can be written as a sum of positive squares in 4 ways, for example, as 15640003600 + 102384507701529 = 125060^2 + 10118523^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102400147705129 - 2¹ = 102400147705127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102400147705127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31725187 + ... + 34803559.

It is an arithmetic number, because the mean of its divisors is an integer number (12943877731785).

Almost surely, 2^{102400147705129} is an apocalyptic number.

It is an amenable number.

102400147705129 is a deficient number, since it is larger than the sum of its proper divisors (1150874149151).

102400147705129 is an equidigital number, since it uses as much as digits as its factorization.

102400147705129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452219.

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 102400147705129 in words is "one hundred two trillion, four hundred billion, one hundred forty-seven million, seven hundred five thousand, one hundred twenty-nine".