102240600 has 192 divisors, whose sum is σ = 395331840. Its totient is φ = 21235200.

The previous prime is 102240599. The next prime is 102240613. The reversal of 102240600 is 6042201.

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 102240600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45094 + ... + 47306.

It is an arithmetic number, because the mean of its divisors is an integer number (2059020).

Almost surely, 2^102240600 is an apocalyptic number.

102240600 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 102240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197665920).

102240600 is an abundant number, since it is smaller than the sum of its proper divisors (293091240).

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

102240600 is a wasteful number, since it uses less digits than its factorization.

102240600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2241 counting only the distinct ones).

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

The square root of 102240600 is about 10111.4093973096. The cubic root of 102240600 is about 467.5999576553.

Adding to 102240600 its reverse (6042201), we get a palindrome (108282801).

The spelling of 102240600 in words is "one hundred two million, two hundred forty thousand, six hundred".