102514441104 has 140 divisors (see below), whose sum is σ = 299974737516. Its totient is φ = 33921524736.

The previous prime is 102514441103. The next prime is 102514441121. The reversal of 102514441104 is 401144415201.

It is a happy number.

102514441104 is a `hidden beast` number, since 1 + 0 + 2 + 514 + 4 + 41 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87249344400 + 15265096704 = 295380^2 + 123552^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102514441103) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1565892 + ... + 1630044.

Almost surely, 2^102514441104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102514441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149987368758).

102514441104 is an abundant number, since it is smaller than the sum of its proper divisors (197460296412).

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

102514441104 is an equidigital number, since it uses as much as digits as its factorization.

102514441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64316 (or 64295 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 102514441104 its reverse (401144415201), we get a palindrome (503658856305).

The spelling of 102514441104 in words is "one hundred two billion, five hundred fourteen million, four hundred forty-one thousand, one hundred four".