106551560 has 32 divisors (see below), whose sum is σ = 240067800. Its totient is φ = 42562560.

The previous prime is 106551551. The next prime is 106551569. The reversal of 106551560 is 65155601.

It is an interprime number because it is at equal distance from previous prime (106551551) and next prime (106551569).

It can be written as a sum of positive squares in 4 ways, for example, as 87871876 + 18679684 = 9374^2 + 4322^2 .

It is a super-2 number, since 2×106551560² = 22706469876867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106551569) 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, 39536 + ... + 42144.

Almost surely, 2^106551560 is an apocalyptic number.

106551560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106551560 is an abundant number, since it is smaller than the sum of its proper divisors (133516240).

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

106551560 is a wasteful number, since it uses less digits than its factorization.

106551560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3637 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 106551560 is about 10322.3815081598. The cubic root of 106551560 is about 474.0817866433.

It can be divided in two parts, 1065 and 51560, that added together give a palindrome (52625).

The spelling of 106551560 in words is "one hundred six million, five hundred fifty-one thousand, five hundred sixty".