102007400 has 96 divisors (see below), whose sum is σ = 261144000. Its totient is φ = 36748800.

The previous prime is 102007397. The next prime is 102007421. The reversal of 102007400 is 4700201.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437684 + ... + 437916.

It is an arithmetic number, because the mean of its divisors is an integer number (2720250).

Almost surely, 2^102007400 is an apocalyptic number.

102007400 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 102007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130572000).

102007400 is an abundant number, since it is smaller than the sum of its proper divisors (159136600).

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

102007400 is a wasteful number, since it uses less digits than its factorization.

102007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 102007400 is about 10099.8712863086. The cubic root of 102007400 is about 467.2441716579.

Adding to 102007400 its reverse (4700201), we get a palindrome (106707601).

The spelling of 102007400 in words is "one hundred two million, seven thousand, four hundred".