102440960 has 112 divisors (see below), whose sum is σ = 255967992. Its totient is φ = 39321600.

The previous prime is 102440911. The next prime is 102440969. The reversal of 102440960 is 69044201.

It can be written as a sum of positive squares in 4 ways, for example, as 25563136 + 76877824 = 5056^2 + 8768^2 .

It is not an unprimeable number, because it can be changed into a prime (102440969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679330 + ... + 1679390.

Almost surely, 2^102440960 is an apocalyptic number.

102440960 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 102440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127983996).

102440960 is an abundant number, since it is smaller than the sum of its proper divisors (153527032).

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

102440960 is an frugal number, since it uses more digits than its factorization.

102440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 102440960 is about 10121.3121678960. The cubic root of 102440960 is about 467.9052088438.

The spelling of 102440960 in words is "one hundred two million, four hundred forty thousand, nine hundred sixty".