102496240 has 120 divisors (see below), whose sum is σ = 302538672. Its totient is φ = 31933440.

The previous prime is 102496231. The next prime is 102496267. The reversal of 102496240 is 42694201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102496199 and 102496208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41932 + ... + 44308.

Almost surely, 2^102496240 is an apocalyptic number.

102496240 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 102496240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151269336).

102496240 is an abundant number, since it is smaller than the sum of its proper divisors (200042432).

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

102496240 is a wasteful number, since it uses less digits than its factorization.

102496240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 102496240 is about 10124.0426707911. The cubic root of 102496240 is about 467.9893586106.

The spelling of 102496240 in words is "one hundred two million, four hundred ninety-six thousand, two hundred forty".