102098673600 has 2016 divisors, whose sum is σ = 468781424640. Its totient is φ = 19160064000.

The previous prime is 102098673571. The next prime is 102098673623. The reversal of 102098673600 is 6376890201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1523860767 + ... + 1523860833.

Almost surely, 2^102098673600 is an apocalyptic number.

102098673600 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 102098673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234390712320).

102098673600 is an abundant number, since it is smaller than the sum of its proper divisors (366682751040).

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

102098673600 is a wasteful number, since it uses less digits than its factorization.

102098673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 102098673600 in words is "one hundred two billion, ninety-eight million, six hundred seventy-three thousand, six hundred".