102269723891328 has 432 divisors, whose sum is σ = 361305666672210. Its totient is φ = 27682025011200.

The previous prime is 102269723891317. The next prime is 102269723891381. The reversal of 102269723891328 is 823198327962201.

102269723891328 is a `hidden beast` number, since 1 + 0 + 2 + 269 + 7 + 238 + 9 + 132 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97978164185664 + 4291559705664 = 9898392^2 + 2071608^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17868378 + ... + 22887078.

Almost surely, 2^{102269723891328} is an apocalyptic number.

102269723891328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102269723891328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180652833336105).

102269723891328 is an abundant number, since it is smaller than the sum of its proper divisors (259035942780882).

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

102269723891328 is a wasteful number, since it uses less digits than its factorization.

102269723891328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018773 (or 5018732 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 102269723891328 in words is "one hundred two trillion, two hundred sixty-nine billion, seven hundred twenty-three million, eight hundred ninety-one thousand, three hundred twenty-eight".