102540240 has 240 divisors, whose sum is σ = 382314816. Its totient is φ = 24625920.

The previous prime is 102540227. The next prime is 102540241. The reversal of 102540240 is 42045201.

102540240 is a `hidden beast` number, since 102 + 540 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102540241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958267 + ... + 958373.

Almost surely, 2^102540240 is an apocalyptic number.

102540240 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 102540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191157408).

102540240 is an abundant number, since it is smaller than the sum of its proper divisors (279774576).

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

102540240 is a wasteful number, since it uses less digits than its factorization.

102540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102540240 is about 10126.2154825976. The cubic root of 102540240 is about 468.0563158179.

Adding to 102540240 its reverse (42045201), we get a palindrome (144585441).

The spelling of 102540240 in words is "one hundred two million, five hundred forty thousand, two hundred forty".