102074204400 has 240 divisors, whose sum is σ = 376545447168. Its totient is φ = 23152896000.

The previous prime is 102074204383. The next prime is 102074204413. The reversal of 102074204400 is 4402470201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054020 + ... + 1146780.

Almost surely, 2^102074204400 is an apocalyptic number.

102074204400 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 102074204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188272723584).

102074204400 is an abundant number, since it is smaller than the sum of its proper divisors (274471242768).

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

102074204400 is a wasteful number, since it uses less digits than its factorization.

102074204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92920 (or 92909 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

Adding to 102074204400 its reverse (4402470201), we get a palindrome (106476674601).

The spelling of 102074204400 in words is "one hundred two billion, seventy-four million, two hundred four thousand, four hundred".