106657840 has 60 divisors (see below), whose sum is σ = 252912384. Its totient is φ = 41830528.

The previous prime is 106657819. The next prime is 106657841. The reversal of 106657840 is 48756601.

106657840 = 325² + 326² + ... + 707².

It is a super-2 number, since 2×106657840² = 22751789666931200, 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 106657840.

It is not an unprimeable number, because it can be changed into a prime (106657841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278289 + ... + 278671.

Almost surely, 2^106657840 is an apocalyptic number.

106657840 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 106657840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126456192).

106657840 is an abundant number, since it is smaller than the sum of its proper divisors (146254544).

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

106657840 is an equidigital number, since it uses as much as digits as its factorization.

106657840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 449 counting only the distinct ones).

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

The square root of 106657840 is about 10327.5282618834. The cubic root of 106657840 is about 474.2393587747.

The spelling of 106657840 in words is "one hundred six million, six hundred fifty-seven thousand, eight hundred forty".