102114444 has 48 divisors (see below), whose sum is σ = 255775968. Its totient is φ = 31592448.

The previous prime is 102114443. The next prime is 102114449. The reversal of 102114444 is 444411201.

It is a self number, because there is not a number n which added to its sum of digits gives 102114444.

It is not an unprimeable number, because it can be changed into a prime (102114443) 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, 11464 + ... + 18320.

It is an arithmetic number, because the mean of its divisors is an integer number (5328666).

Almost surely, 2^102114444 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 102114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127887984).

102114444 is an abundant number, since it is smaller than the sum of its proper divisors (153661524).

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

102114444 is a wasteful number, since it uses less digits than its factorization.

102114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 102114444 is about 10105.1691722603. The cubic root of 102114444 is about 467.4075526160.

Adding to 102114444 its reverse (444411201), we get a palindrome (546525645).

The spelling of 102114444 in words is "one hundred two million, one hundred fourteen thousand, four hundred forty-four".