102417988736 has 192 divisors, whose sum is σ = 252202507200. Its totient is φ = 40531814400.

The previous prime is 102417988711. The next prime is 102417988747. The reversal of 102417988736 is 637889714201.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13741811 + ... + 13749261.

It is an arithmetic number, because the mean of its divisors is an integer number (1313554725).

Almost surely, 2^102417988736 is an apocalyptic number.

102417988736 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 102417988736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126101253600).

102417988736 is an abundant number, since it is smaller than the sum of its proper divisors (149784518464).

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

102417988736 is an equidigital number, since it uses as much as digits as its factorization.

102417988736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7547 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 56.

The spelling of 102417988736 in words is "one hundred two billion, four hundred seventeen million, nine hundred eighty-eight thousand, seven hundred thirty-six".