102703814400 has 648 divisors, whose sum is σ = 379995428736. Its totient is φ = 24226406400.

The previous prime is 102703814393. The next prime is 102703814417. The reversal of 102703814400 is 4418307201.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 390508669 + ... + 390508931.

Almost surely, 2^102703814400 is an apocalyptic number.

102703814400 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 102703814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189997714368).

102703814400 is an abundant number, since it is smaller than the sum of its proper divisors (277291614336).

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

102703814400 is a wasteful number, since it uses less digits than its factorization.

102703814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 102703814400 in words is "one hundred two billion, seven hundred three million, eight hundred fourteen thousand, four hundred".