15106140 has 144 divisors (see below), whose sum is σ = 55211520. Its totient is φ = 3265920.

The previous prime is 15106139. The next prime is 15106151. The reversal of 15106140 is 4160151.

15106140 is a `hidden beast` number, since 1 + 51 + 0 + 614 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23625 + ... + 24255.

Almost surely, 2^15106140 is an apocalyptic number.

15106140 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 15106140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27605760).

15106140 is an abundant number, since it is smaller than the sum of its proper divisors (40105380).

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

15106140 is a wasteful number, since it uses less digits than its factorization.

15106140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 15106140 is about 3886.6618067437. The cubic root of 15106140 is about 247.2015379928.

Adding to 15106140 its reverse (4160151), we get a palindrome (19266291).

The spelling of 15106140 in words is "fifteen million, one hundred six thousand, one hundred forty".