106111560 has 64 divisors (see below), whose sum is σ = 326952000. Its totient is φ = 27530496.

The previous prime is 106111547. The next prime is 106111601. The reversal of 106111560 is 65111601.

It is a super-2 number, since 2×106111560² = 22519326331267200, which contains 22 as substring.

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, 7510 + ... + 16389.

It is an arithmetic number, because the mean of its divisors is an integer number (5108625).

Almost surely, 2^106111560 is an apocalyptic number.

106111560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106111560 is an abundant number, since it is smaller than the sum of its proper divisors (220840440).

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

106111560 is a wasteful number, since it uses less digits than its factorization.

106111560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23950 (or 23946 counting only the distinct ones).

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

The square root of 106111560 is about 10301.0465487736. The cubic root of 106111560 is about 473.4283196708.

It can be divided in two parts, 1061 and 11560, that added together give a palindrome (12621).

The spelling of 106111560 in words is "one hundred six million, one hundred eleven thousand, five hundred sixty".