105090015 has 16 divisors (see below), whose sum is σ = 168537600. Its totient is φ = 55916832.

The previous prime is 105089993. The next prime is 105090019. The reversal of 105090015 is 510090501.

It is a happy number.

It is not a de Polignac number, because 105090015 - 2⁵ = 105089983 is a prime.

It is a super-2 number, since 2×105090015² = 22087822505400450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105089973 and 105090000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105090019) 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, 1395 + ... + 14564.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2^105090015 is an apocalyptic number.

105090015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105090015 is a deficient number, since it is larger than the sum of its proper divisors (63447585).

105090015 is a wasteful number, since it uses less digits than its factorization.

105090015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16406.

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 105090015 is about 10251.3421072560. The cubic root of 105090015 is about 471.9041732472.

The spelling of 105090015 in words is "one hundred five million, ninety thousand, fifteen".