15105420 has 96 divisors (see below), whose sum is σ = 51287040. Its totient is φ = 3660480.

The previous prime is 15105413. The next prime is 15105421. The reversal of 15105420 is 2450151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 15105393 and 15105402.

It is not an unprimeable number, because it can be changed into a prime (15105421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4669 + ... + 7211.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 2^15105420 is an apocalyptic number.

15105420 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 15105420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25643520).

15105420 is an abundant number, since it is smaller than the sum of its proper divisors (36181620).

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

15105420 is a wasteful number, since it uses less digits than its factorization.

15105420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2564 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 15105420 is about 3886.5691811674. The cubic root of 15105420 is about 247.1976104963.

Adding to 15105420 its reverse (2450151), we get a palindrome (17555571).

The spelling of 15105420 in words is "fifteen million, one hundred five thousand, four hundred twenty".