102090240 has 320 divisors, whose sum is σ = 416401920. Its totient is φ = 23224320.

The previous prime is 102090239. The next prime is 102090257. The reversal of 102090240 is 42090201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 483735 + ... + 483945.

It is an arithmetic number, because the mean of its divisors is an integer number (1301256).

Almost surely, 2^102090240 is an apocalyptic number.

102090240 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 102090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208200960).

102090240 is an abundant number, since it is smaller than the sum of its proper divisors (314311680).

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

102090240 is an equidigital number, since it uses as much as digits as its factorization.

102090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102090240 is about 10103.9714963968. The cubic root of 102090240 is about 467.3706201119.

The spelling of 102090240 in words is "one hundred two million, ninety thousand, two hundred forty".