102504640 has 112 divisors (see below), whose sum is σ = 283537152. Its totient is φ = 34569216.

The previous prime is 102504599. The next prime is 102504641. The reversal of 102504640 is 46405201.

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

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (102504641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149739 + ... + 150421.

Almost surely, 2^102504640 is an apocalyptic number.

102504640 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 102504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141768576).

102504640 is an abundant number, since it is smaller than the sum of its proper divisors (181032512).

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

102504640 is an equidigital number, since it uses as much as digits as its factorization.

102504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 102504640 is about 10124.4575163314. The cubic root of 102504640 is about 468.0021428299.

Adding to 102504640 its reverse (46405201), we get a palindrome (148909841).

The spelling of 102504640 in words is "one hundred two million, five hundred four thousand, six hundred forty".