106511160 has 256 divisors, whose sum is σ = 393984000. Its totient is φ = 22505472.

The previous prime is 106511149. The next prime is 106511189. The reversal of 106511160 is 61115601.

It is a super-2 number, since 2×106511160² = 22689254409091200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714766 + ... + 714914.

It is an arithmetic number, because the mean of its divisors is an integer number (1539000).

Almost surely, 2^106511160 is an apocalyptic number.

106511160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106511160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

106511160 is an abundant number, since it is smaller than the sum of its proper divisors (287472840).

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

106511160 is a wasteful number, since it uses less digits than its factorization.

106511160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 106511160 is about 10320.4244098777. The cubic root of 106511160 is about 474.0218615849.

Adding to 106511160 its reverse (61115601), we get a palindrome (167626761).

It can be divided in two parts, 10651 and 1160, that added together give a palindrome (11811).

The spelling of 106511160 in words is "one hundred six million, five hundred eleven thousand, one hundred sixty".