102098374560 has 672 divisors, whose sum is σ = 445148645760. Its totient is φ = 21539395584.

The previous prime is 102098374523. The next prime is 102098374561. The reversal of 102098374560 is 65473890201.

102098374560 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 9 + 83 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (102098374561) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10609431 + ... + 10619049.

It is an arithmetic number, because the mean of its divisors is an integer number (662423580).

It is a 1-persistent number, because it is pandigital, but 2⋅102098374560 = 204196749120 is not.

Almost surely, 2^102098374560 is an apocalyptic number.

102098374560 is a gapful number since it is divisible by the number (10) 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 102098374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222574322880).

102098374560 is an abundant number, since it is smaller than the sum of its proper divisors (343050271200).

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

102098374560 is an equidigital number, since it uses as much as digits as its factorization.

102098374560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 102098374560 in words is "one hundred two billion, ninety-eight million, three hundred seventy-four thousand, five hundred sixty".