15120105 has 128 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 5391360.

The previous prime is 15120101. The next prime is 15120109. The reversal of 15120105 is 50102151.

It is an interprime number because it is at equal distance from previous prime (15120101) and next prime (15120109).

It is not a de Polignac number, because 15120105 - 2² = 15120101 is a prime.

It is a super-2 number, since 2×15120105² = 457235150422050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (15120101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 285259 + ... + 285311.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 2^15120105 is an apocalyptic number.

15120105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15120105 is an abundant number, since it is smaller than the sum of its proper divisors (19716375).

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

15120105 is a wasteful number, since it uses less digits than its factorization.

15120105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111.

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 15120105 is about 3888.4579205644. The cubic root of 15120105 is about 247.2776903879.

Adding to 15120105 its reverse (50102151), we get a palindrome (65222256).

It can be divided in two parts, 15120 and 105, that multiplied together give a square (1587600 = 1260²).

The spelling of 15120105 in words is "fifteen million, one hundred twenty thousand, one hundred five".