102983270400 has 600 divisors, whose sum is σ = 385454072850. Its totient is φ = 27179089920.

The previous prime is 102983270399. The next prime is 102983270417. The reversal of 102983270400 is 4072389201.

102983270400 is a `hidden beast` number, since 1 + 0 + 298 + 327 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 73914384384 + 29068886016 = 271872^2 + 170496^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1061683152 + ... + 1061683248.

Almost surely, 2^102983270400 is an apocalyptic number.

102983270400 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 102983270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192727036425).

102983270400 is an abundant number, since it is smaller than the sum of its proper divisors (282470802450).

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

102983270400 is an frugal number, since it uses more digits than its factorization.

102983270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 102983270400 in words is "one hundred two billion, nine hundred eighty-three million, two hundred seventy thousand, four hundred".