106822560 has 384 divisors, whose sum is σ = 411505920. Its totient is φ = 23003136.

The previous prime is 106822531. The next prime is 106822567. The reversal of 106822560 is 65228601.

It is a super-2 number, since 2×106822560² = 22822118649907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (106822567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015494 + ... + 2015546.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 2^106822560 is an apocalyptic number.

106822560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10335×10336.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

106822560 is an abundant number, since it is smaller than the sum of its proper divisors (304683360).

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

106822560 is a wasteful number, since it uses less digits than its factorization.

106822560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106822560 is about 10335.4999879058. The cubic root of 106822560 is about 474.4833681156.

The spelling of 106822560 in words is "one hundred six million, eight hundred twenty-two thousand, five hundred sixty".