102742400 has 96 divisors (see below), whose sum is σ = 257197080. Its totient is φ = 40550400.

The previous prime is 102742399. The next prime is 102742429. The reversal of 102742400 is 4247201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 310235 + ... + 310565.

Almost surely, 2^102742400 is an apocalyptic number.

102742400 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 102742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128598540).

102742400 is an abundant number, since it is smaller than the sum of its proper divisors (154454680).

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

102742400 is an equidigital number, since it uses as much as digits as its factorization.

102742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 102742400 is about 10136.1925790703. The cubic root of 102742400 is about 468.3637078220.

Adding to 102742400 its reverse (4247201), we get a palindrome (106989601).

The spelling of 102742400 in words is "one hundred two million, seven hundred forty-two thousand, four hundred".