102274406400 has 576 divisors, whose sum is σ = 357217136640. Its totient is φ = 25775308800.

The previous prime is 102274406371. The next prime is 102274406417. The reversal of 102274406400 is 4604472201.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223794972 + ... + 223795428.

It is an arithmetic number, because the mean of its divisors is an integer number (620168640).

Almost surely, 2^102274406400 is an apocalyptic number.

102274406400 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 102274406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178608568320).

102274406400 is an abundant number, since it is smaller than the sum of its proper divisors (254942730240).

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

102274406400 is a wasteful number, since it uses less digits than its factorization.

102274406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 102274406400 its reverse (4604472201), we get a palindrome (106878878601).

The spelling of 102274406400 in words is "one hundred two billion, two hundred seventy-four million, four hundred six thousand, four hundred".