102773327342400 has 1680 divisors, whose sum is σ = 453259072062720. Its totient is φ = 22508712345600.

The previous prime is 102773327342381. The next prime is 102773327342431. The reversal of 102773327342400 is 4243723377201.

It is a happy number.

102773327342400 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 7 + 332 + 73 + 4 + 240 + 0 = 666.

102773327342400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 870982606 + ... + 871100594.

It is an arithmetic number, because the mean of its divisors is an integer number (269797066704).

Almost surely, 2^{102773327342400} is an apocalyptic number.

102773327342400 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 102773327342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226629536031360).

102773327342400 is an abundant number, since it is smaller than the sum of its proper divisors (350485744720320).

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

102773327342400 is a wasteful number, since it uses less digits than its factorization.

102773327342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118094 (or 118070 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 102773327342400 in words is "one hundred two trillion, seven hundred seventy-three billion, three hundred twenty-seven million, three hundred forty-two thousand, four hundred".