105150331 has 32 divisors (see below), whose sum is σ = 127895040. Its totient is φ = 85900320.

The previous prime is 105150323. The next prime is 105150349. The reversal of 105150331 is 133051501.

It is not a de Polignac number, because 105150331 - 2³ = 105150323 is a prime.

It is a super-2 number, since 2×105150331² = 22113184218819122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105150299 and 105150308.

It is not an unprimeable number, because it can be changed into a prime (105150391) 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, 1020826 + ... + 1020928.

It is an arithmetic number, because the mean of its divisors is an integer number (3996720).

Almost surely, 2^105150331 is an apocalyptic number.

105150331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105150331 is a deficient number, since it is larger than the sum of its proper divisors (22744709).

105150331 is a wasteful number, since it uses less digits than its factorization.

105150331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 105150331 is about 10254.2835439635. The cubic root of 105150331 is about 471.9944384938.

The spelling of 105150331 in words is "one hundred five million, one hundred fifty thousand, three hundred thirty-one".