102473342400 has 672 divisors, whose sum is σ = 397040087808. Its totient is φ = 22811443200.

The previous prime is 102473342393. The next prime is 102473342459. The reversal of 102473342400 is 4243374201.

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 95 ways as a sum of consecutive naturals, for example, 231316579 + ... + 231317021.

It is an arithmetic number, because the mean of its divisors is an integer number (590833464).

Almost surely, 2^102473342400 is an apocalyptic number.

102473342400 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 102473342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198520043904).

102473342400 is an abundant number, since it is smaller than the sum of its proper divisors (294566745408).

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

102473342400 is a wasteful number, since it uses less digits than its factorization.

102473342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The spelling of 102473342400 in words is "one hundred two billion, four hundred seventy-three million, three hundred forty-two thousand, four hundred".