102400500 has 96 divisors (see below), whose sum is σ = 313971840. Its totient is φ = 25862400.

The previous prime is 102400489. The next prime is 102400523. The reversal of 102400500 is 5004201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26704 + ... + 30296.

It is an arithmetic number, because the mean of its divisors is an integer number (3270540).

Almost surely, 2^102400500 is an apocalyptic number.

102400500 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 102400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156985920).

102400500 is an abundant number, since it is smaller than the sum of its proper divisors (211571340).

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

102400500 is a wasteful number, since it uses less digits than its factorization.

102400500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102400500 is about 10119.3132178029. The cubic root of 102400500 is about 467.8435995758.

Adding to 102400500 its reverse (5004201), we get a palindrome (107404701).

The spelling of 102400500 in words is "one hundred two million, four hundred thousand, five hundred".