106346560 has 112 divisors (see below), whose sum is σ = 272070576. Its totient is φ = 39452672.

The previous prime is 106346557. The next prime is 106346563. The reversal of 106346560 is 65643601.

It is an interprime number because it is at equal distance from previous prime (106346557) and next prime (106346563).

It can be written as a sum of positive squares in 8 ways, for example, as 9216 + 106337344 = 96^2 + 10312^2 .

It is a super-2 number, since 2×106346560² = 22619181647667200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (106346563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614634 + ... + 614806.

Almost surely, 2^106346560 is an apocalyptic number.

106346560 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 106346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136035288).

106346560 is an abundant number, since it is smaller than the sum of its proper divisors (165724016).

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

106346560 is a wasteful number, since it uses less digits than its factorization.

106346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 106346560 is about 10312.4468483479. The cubic root of 106346560 is about 473.7775547125. Note that the first 3 decimals are identical.

The spelling of 106346560 in words is "one hundred six million, three hundred forty-six thousand, five hundred sixty".