15102105414 has 64 divisors (see below), whose sum is σ = 34986401280. Its totient is φ = 4295083520.

The previous prime is 15102105401. The next prime is 15102105419. The reversal of 15102105414 is 41450120151.

15102105414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×15102105414³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15102105419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384052 + ... + 421544.

It is an arithmetic number, because the mean of its divisors is an integer number (546662520).

Almost surely, 2^15102105414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15102105414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493200640).

15102105414 is an abundant number, since it is smaller than the sum of its proper divisors (19884295866).

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

15102105414 is a wasteful number, since it uses less digits than its factorization.

15102105414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37885.

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 15102105414 its reverse (41450120151), we get a palindrome (56552225565).

The spelling of 15102105414 in words is "fifteen billion, one hundred two million, one hundred five thousand, four hundred fourteen".