102406200 has 192 divisors, whose sum is σ = 360393600. Its totient is φ = 23846400.

The previous prime is 102406141. The next prime is 102406247. The reversal of 102406200 is 2604201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102406200.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 147855 + ... + 148545.

It is an arithmetic number, because the mean of its divisors is an integer number (1877050).

Almost surely, 2^102406200 is an apocalyptic number.

102406200 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 102406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180196800).

102406200 is an abundant number, since it is smaller than the sum of its proper divisors (257987400).

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

102406200 is a wasteful number, since it uses less digits than its factorization.

102406200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102406200 is about 10119.5948535502. The cubic root of 102406200 is about 467.8522800641.

The spelling of 102406200 in words is "one hundred two million, four hundred six thousand, two hundred".