102443313040 has 80 divisors (see below), whose sum is σ = 239551207920. Its totient is φ = 40742174720.

The previous prime is 102443313017. The next prime is 102443313053. The reversal of 102443313040 is 40313344201.

It can be written as a sum of positive squares in 8 ways, for example, as 51179107984 + 51264205056 = 226228^2 + 226416^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102443313040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102443312996 and 102443313014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11207352 + ... + 11216488.

It is an arithmetic number, because the mean of its divisors is an integer number (2994390099).

Almost surely, 2^102443313040 is an apocalyptic number.

102443313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102443313040 is an abundant number, since it is smaller than the sum of its proper divisors (137107894880).

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

102443313040 is a wasteful number, since it uses less digits than its factorization.

102443313040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9940 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 102443313040 its reverse (40313344201), we get a palindrome (142756657241).

The spelling of 102443313040 in words is "one hundred two billion, four hundred forty-three million, three hundred thirteen thousand, forty".