106722560 has 144 divisors (see below), whose sum is σ = 300026496. Its totient is φ = 35610624.

The previous prime is 106722557. The next prime is 106722593. The reversal of 106722560 is 65227601.

It is a super-2 number, since 2×106722560² = 22779409625907200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 385142 + ... + 385418.

Almost surely, 2^106722560 is an apocalyptic number.

106722560 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 106722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150013248).

106722560 is an abundant number, since it is smaller than the sum of its proper divisors (193303936).

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

106722560 is an equidigital number, since it uses as much as digits as its factorization.

106722560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 106722560 is about 10330.6611598677. The cubic root of 106722560 is about 474.3352622271.

The spelling of 106722560 in words is "one hundred six million, seven hundred twenty-two thousand, five hundred sixty".