102258435552 has 288 divisors, whose sum is σ = 340341305472. Its totient is φ = 26643004416.

The previous prime is 102258435529. The next prime is 102258435553. The reversal of 102258435552 is 255534852201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102258435553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5065543 + ... + 5085689.

It is an arithmetic number, because the mean of its divisors is an integer number (1181740644).

Almost surely, 2^102258435552 is an apocalyptic number.

102258435552 is a gapful number since it is divisible by the number (12) 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 102258435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170170652736).

102258435552 is an abundant number, since it is smaller than the sum of its proper divisors (238082869920).

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

102258435552 is a wasteful number, since it uses less digits than its factorization.

102258435552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20270 (or 20255 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 102258435552 in words is "one hundred two billion, two hundred fifty-eight million, four hundred thirty-five thousand, five hundred fifty-two".