106069760 has 72 divisors (see below), whose sum is σ = 256072320. Its totient is φ = 42094592.

The previous prime is 106069759. The next prime is 106069771. The reversal of 106069760 is 67960601.

It is a happy number.

It is a super-2 number, since 2×106069760² = 22501587972915200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106069760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 221201 + ... + 221679.

It is an arithmetic number, because the mean of its divisors is an integer number (3556560).

Almost surely, 2^106069760 is an apocalyptic number.

106069760 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 106069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128036160).

106069760 is an abundant number, since it is smaller than the sum of its proper divisors (150002560).

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

106069760 is an equidigital number, since it uses as much as digits as its factorization.

106069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 106069760 is about 10299.0174288618. The cubic root of 106069760 is about 473.3661464171.

The spelling of 106069760 in words is "one hundred six million, sixty-nine thousand, seven hundred sixty".