106447560 has 64 divisors (see below), whose sum is σ = 322963200. Its totient is φ = 28064256.

The previous prime is 106447553. The next prime is 106447589. The reversal of 106447560 is 65744601.

It is a super-2 number, since 2×106447560² = 22662166059907200, 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, 5697 + ... + 15663.

It is an arithmetic number, because the mean of its divisors is an integer number (5046300).

Almost surely, 2^106447560 is an apocalyptic number.

106447560 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 106447560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161481600).

106447560 is an abundant number, since it is smaller than the sum of its proper divisors (216515640).

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

106447560 is a wasteful number, since it uses less digits than its factorization.

106447560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10066 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 106447560 is about 10317.3426811365. The cubic root of 106447560 is about 473.9274934048.

The spelling of 106447560 in words is "one hundred six million, four hundred forty-seven thousand, five hundred sixty".