102040314010432 has 42 divisors (see below), whose sum is σ = 235545227405682. Its totient is φ = 43731563145984.

The previous prime is 102040314010399. The next prime is 102040314010433. The reversal of 102040314010432 is 234010413040201.

It can be written as a sum of positive squares in only one way, i.e., 78809225031936 + 23231088978496 = 8877456^2 + 4819864^2 .

It is a super-2 number, since 2×102040314010432² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102040314010397 and 102040314010406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102040314010433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16269179583 + ... + 16269185854.

Almost surely, 2^{102040314010432} is an apocalyptic number.

It is an amenable number.

102040314010432 is an abundant number, since it is smaller than the sum of its proper divisors (133504913395250).

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

102040314010432 is an equidigital number, since it uses as much as digits as its factorization.

102040314010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32538365463 (or 32538365446 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 102040314010432 its reverse (234010413040201), we get a palindrome (336050727050633).

The spelling of 102040314010432 in words is "one hundred two trillion, forty billion, three hundred fourteen million, ten thousand, four hundred thirty-two".