102042230400 has 864 divisors, whose sum is σ = 412454315520. Its totient is φ = 23822131200.

The previous prime is 102042230369. The next prime is 102042230519. The reversal of 102042230400 is 4032240201.

102042230400 is a `hidden beast` number, since 10 + 20 + 4 + 2 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 266428609 + ... + 266428991.

It is an arithmetic number, because the mean of its divisors is an integer number (477377680).

Almost surely, 2^102042230400 is an apocalyptic number.

102042230400 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 102042230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206227157760).

102042230400 is an abundant number, since it is smaller than the sum of its proper divisors (310412085120).

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

102042230400 is a wasteful number, since it uses less digits than its factorization.

102042230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 102042230400 its reverse (4032240201), we get a palindrome (106074470601).

The spelling of 102042230400 in words is "one hundred two billion, forty-two million, two hundred thirty thousand, four hundred".