106418560 has 64 divisors (see below), whose sum is σ = 255791520. Its totient is φ = 42336256.

The previous prime is 106418537. The next prime is 106418561. The reversal of 106418560 is 65814601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106418560² = 22649819824947200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106418561) 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, 164157 + ... + 164803.

Almost surely, 2^106418560 is an apocalyptic number.

106418560 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 106418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127895760).

106418560 is an abundant number, since it is smaller than the sum of its proper divisors (149372960).

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

106418560 is an equidigital number, since it uses as much as digits as its factorization.

106418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 106418560 is about 10315.9371847642. The cubic root of 106418560 is about 473.8844514111.

The spelling of 106418560 in words is "one hundred six million, four hundred eighteen thousand, five hundred sixty".