106659840 has 256 divisors, whose sum is σ = 402647040. Its totient is φ = 23592960.

The previous prime is 106659829. The next prime is 106659859. The reversal of 106659840 is 48956601.

It is a tau number, because it is divible by the number of its divisors (256).

It is a super-2 number, since 2×106659840² = 22752642937651200, which contains 22 as substring.

It is a congruent number.

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, 3440625 + ... + 3440655.

It is an arithmetic number, because the mean of its divisors is an integer number (1572840).

Almost surely, 2^106659840 is an apocalyptic number.

106659840 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 106659840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201323520).

106659840 is an abundant number, since it is smaller than the sum of its proper divisors (295987200).

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

106659840 is an frugal number, since it uses more digits than its factorization.

106659840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 106659840 is about 10327.6250900195. The cubic root of 106659840 is about 474.2423229974.

It can be divided in two parts, 1066 and 59840, that added together give a palindrome (60906).

The spelling of 106659840 in words is "one hundred six million, six hundred fifty-nine thousand, eight hundred forty".