106601120 has 48 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 42518784.

The previous prime is 106601083. The next prime is 106601137. The reversal of 106601120 is 21106601.

It is a happy number.

It is a super-2 number, since 2×106601120² = 22727597570508800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73361 + ... + 74799.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 2^106601120 is an apocalyptic number.

106601120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106601120 is an abundant number, since it is smaller than the sum of its proper divisors (145963360).

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

106601120 is a wasteful number, since it uses less digits than its factorization.

106601120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 106601120 is about 10324.7818378889. The cubic root of 106601120 is about 474.1552779856.

Adding to 106601120 its reverse (21106601), we get a palindrome (127707721).

The spelling of 106601120 in words is "one hundred six million, six hundred one thousand, one hundred twenty".