102400045361 has 2 divisors, whose sum is σ = 102400045362. Its totient is φ = 102400045360.

The previous prime is 102400045333. The next prime is 102400045373. The reversal of 102400045361 is 163540004201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94960120336 + 7439925025 = 308156^2 + 86255^2 .

It is a cyclic number.

It is not a de Polignac number, because 102400045361 - 2¹⁴ = 102400028977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102400045361.

It is not a weakly prime, because it can be changed into another prime (102400045381) 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 as a sum of consecutive naturals, namely, 51200022680 + 51200022681.

It is an arithmetic number, because the mean of its divisors is an integer number (51200022681).

Almost surely, 2^102400045361 is an apocalyptic number.

It is an amenable number.

102400045361 is a deficient number, since it is larger than the sum of its proper divisors (1).

102400045361 is an equidigital number, since it uses as much as digits as its factorization.

102400045361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 102400045361 its reverse (163540004201), we get a palindrome (265940049562).

The spelling of 102400045361 in words is "one hundred two billion, four hundred million, forty-five thousand, three hundred sixty-one".