106675840 has 64 divisors (see below), whose sum is σ = 266146560. Its totient is φ = 40809472.

The previous prime is 106675813. The next prime is 106675843. The reversal of 106675840 is 48576601.

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

It is a super-2 number, since 2×106675840² = 22759469679411200, 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 106675840.

It is not an unprimeable number, because it can be changed into a prime (106675843) 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, 11097 + ... + 18343.

It is an arithmetic number, because the mean of its divisors is an integer number (4158540).

Almost surely, 2^106675840 is an apocalyptic number.

106675840 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 106675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133073280).

106675840 is an abundant number, since it is smaller than the sum of its proper divisors (159470720).

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

106675840 is an equidigital number, since it uses as much as digits as its factorization.

106675840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 106675840 is about 10328.3996824290. The cubic root of 106675840 is about 474.2660354456.

The spelling of 106675840 in words is "one hundred six million, six hundred seventy-five thousand, eight hundred forty".