102203109296640 has 4800 divisors, whose sum is σ = 450621138401280. Its totient is φ = 22031518924800.

The previous prime is 102203109296599. The next prime is 102203109296677. The reversal of 102203109296640 is 46692901302201.

102203109296640 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 310 + 9 + 296 + 6 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 518797509022 + ... + 518797509218.

Almost surely, 2^{102203109296640} is an apocalyptic number.

102203109296640 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 102203109296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225310569200640).

102203109296640 is an abundant number, since it is smaller than the sum of its proper divisors (348418029104640).

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

102203109296640 is a wasteful number, since it uses less digits than its factorization.

102203109296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 102203109296640 in words is "one hundred two trillion, two hundred three billion, one hundred nine million, two hundred ninety-six thousand, six hundred forty".