102240120 has 64 divisors (see below), whose sum is σ = 308661120. Its totient is φ = 27091584.

The previous prime is 102240113. The next prime is 102240133. The reversal of 102240120 is 21042201.

It is a super-2 number, since 2×102240120² = 20906084275228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102240096 and 102240105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16947 + ... + 22173.

It is an arithmetic number, because the mean of its divisors is an integer number (4822830).

Almost surely, 2^102240120 is an apocalyptic number.

102240120 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 102240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154330560).

102240120 is an abundant number, since it is smaller than the sum of its proper divisors (206421000).

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

102240120 is a wasteful number, since it uses less digits than its factorization.

102240120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102240120 is about 10111.3856617182. The cubic root of 102240120 is about 467.5992258901.

Adding to 102240120 its reverse (21042201), we get a palindrome (123282321).

The spelling of 102240120 in words is "one hundred two million, two hundred forty thousand, one hundred twenty".