105612120 has 64 divisors (see below), whose sum is σ = 352044000. Its totient is φ = 28162944.

The previous prime is 105612083. The next prime is 105612139. The reversal of 105612120 is 21216501.

It is a super-2 number, since 2×105612120² = 22307839781788800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105612093 and 105612102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47815 + ... + 49974.

Almost surely, 2^105612120 is an apocalyptic number.

105612120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105612120 is an abundant number, since it is smaller than the sum of its proper divisors (246431880).

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

105612120 is a wasteful number, since it uses less digits than its factorization.

105612120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97809 (or 97799 counting only the distinct ones).

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

The square root of 105612120 is about 10276.7757589625. The cubic root of 105612120 is about 472.6843825620.

Adding to 105612120 its reverse (21216501), we get a palindrome (126828621).

The spelling of 105612120 in words is "one hundred five million, six hundred twelve thousand, one hundred twenty".