102259440 has 120 divisors (see below), whose sum is σ = 346837920. Its totient is φ = 26998272.

The previous prime is 102259429. The next prime is 102259441. The reversal of 102259440 is 44952201.

102259440 is a `hidden beast` number, since 10 + 22 + 594 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×102259440² = 20913986138227200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102259441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77829 + ... + 79131.

It is an arithmetic number, because the mean of its divisors is an integer number (2890316).

Almost surely, 2^102259440 is an apocalyptic number.

102259440 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 102259440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173418960).

102259440 is an abundant number, since it is smaller than the sum of its proper divisors (244578480).

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

102259440 is a wasteful number, since it uses less digits than its factorization.

102259440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 102259440 is about 10112.3409752638. The cubic root of 102259440 is about 467.6286776293.

The spelling of 102259440 in words is "one hundred two million, two hundred fifty-nine thousand, four hundred forty".