105146120 has 32 divisors (see below), whose sum is σ = 236871000. Its totient is φ = 42006528.

The previous prime is 105146081. The next prime is 105146123. The reversal of 105146120 is 21641501.

It can be written as a sum of positive squares in 4 ways, for example, as 98684356 + 6461764 = 9934^2 + 2542^2 .

It is a super-2 number, since 2×105146120² = 22111413102108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105146092 and 105146101.

It is not an unprimeable number, because it can be changed into a prime (105146123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61112 + ... + 62808.

Almost surely, 2^105146120 is an apocalyptic number.

105146120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105146120 is an abundant number, since it is smaller than the sum of its proper divisors (131724880).

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

105146120 is a wasteful number, since it uses less digits than its factorization.

105146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 105146120 is about 10254.0782130819. The cubic root of 105146120 is about 471.9881376890.

Adding to 105146120 its reverse (21641501), we get a palindrome (126787621).

The spelling of 105146120 in words is "one hundred five million, one hundred forty-six thousand, one hundred twenty".