102026225441536 has 144 divisors (see below), whose sum is σ = 225873501588000. Its totient is φ = 45608210432000.

The previous prime is 102026225441419. The next prime is 102026225441587. The reversal of 102026225441536 is 635144522620201.

It is a junction number, because it is equal to n+sod(n) for n = 102026225441492 and 102026225441501.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41174220 + ... + 43581748.

It is an arithmetic number, because the mean of its divisors is an integer number (1568565983250).

Almost surely, 2^{102026225441536} is an apocalyptic number.

102026225441536 is a gapful number since it is divisible by the number (16) 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 102026225441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112936750794000).

102026225441536 is an abundant number, since it is smaller than the sum of its proper divisors (123847276146464).

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

102026225441536 is a wasteful number, since it uses less digits than its factorization.

102026225441536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407806 (or 2407792 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 102026225441536 in words is "one hundred two trillion, twenty-six billion, two hundred twenty-five million, four hundred forty-one thousand, five hundred thirty-six".