102240000 has 270 divisors, whose sum is σ = 373549176. Its totient is φ = 26880000.

The previous prime is 102239971. The next prime is 102240001. The reversal of 102240000 is 42201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102240001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439965 + ... + 1440035.

Almost surely, 2^102240000 is an apocalyptic number.

102240000 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 102240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186774588).

102240000 is an abundant number, since it is smaller than the sum of its proper divisors (271309176).

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

102240000 is an frugal number, since it uses more digits than its factorization.

102240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 102240000 is about 10111.3797278116. The cubic root of 102240000 is about 467.5990429484.

Adding to 102240000 its reverse (42201), we get a palindrome (102282201).

The spelling of 102240000 in words is "one hundred two million, two hundred forty thousand".