102104323450400 has 36 divisors (see below), whose sum is σ = 249262179625242. Its totient is φ = 40841729379840.

The previous prime is 102104323450397. The next prime is 102104323450403. The reversal of 102104323450400 is 4054323401201.

It is an interprime number because it is at equal distance from previous prime (102104323450397) and next prime (102104323450403).

It can be written as a sum of positive squares in 3 ways, for example, as 97817717600656 + 4286605849744 = 9890284^2 + 2070412^2 .

It is a super-2 number, since 2×102104323450400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102104323450403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63815201357 + ... + 63815202956.

Almost surely, 2^{102104323450400} is an apocalyptic number.

102104323450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102104323450400 is an abundant number, since it is smaller than the sum of its proper divisors (147157856174842).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102104323450400 is a wasteful number, since it uses less digits than its factorization.

102104323450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127630404333 (or 127630404320 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 102104323450400 its reverse (4054323401201), we get a palindrome (106158646851601).

The spelling of 102104323450400 in words is "one hundred two trillion, one hundred four billion, three hundred twenty-three million, four hundred fifty thousand, four hundred".