102450400 has 72 divisors (see below), whose sum is σ = 269373384. Its totient is φ = 37824000.

The previous prime is 102450391. The next prime is 102450407. The reversal of 102450400 is 4054201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102450407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5475 + ... + 15325.

It is an arithmetic number, because the mean of its divisors is an integer number (3741297).

Almost surely, 2^102450400 is an apocalyptic number.

102450400 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 102450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134686692).

102450400 is an abundant number, since it is smaller than the sum of its proper divisors (166922984).

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

102450400 is a wasteful number, since it uses less digits than its factorization.

102450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9884 (or 9871 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 102450400 is about 10121.7784998487. The cubic root of 102450400 is about 467.9195809904.

The spelling of 102450400 in words is "one hundred two million, four hundred fifty thousand, four hundred".