102258240 has 112 divisors (see below), whose sum is σ = 371075712. Its totient is φ = 23371776.

The previous prime is 102258239. The next prime is 102258251. The reversal of 102258240 is 42852201.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102258240.

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, 889 + ... + 14328.

It is an arithmetic number, because the mean of its divisors is an integer number (3313176).

Almost surely, 2^102258240 is an apocalyptic number.

102258240 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 102258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185537856).

102258240 is an abundant number, since it is smaller than the sum of its proper divisors (268817472).

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

102258240 is a wasteful number, since it uses less digits than its factorization.

102258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15244 (or 15234 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 102258240 is about 10112.2816416474. The cubic root of 102258240 is about 467.6268484368.

The spelling of 102258240 in words is "one hundred two million, two hundred fifty-eight thousand, two hundred forty".