106640000 has 160 divisors (see below), whose sum is σ = 280410240. Its totient is φ = 40320000.

The previous prime is 106639991. The next prime is 106640059. The reversal of 106640000 is 46601.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×106640000² = 22744179200000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479979 + ... + 2480021.

It is an arithmetic number, because the mean of its divisors is an integer number (1752564).

Almost surely, 2^106640000 is an apocalyptic number.

106640000 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 106640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140205120).

106640000 is an abundant number, since it is smaller than the sum of its proper divisors (173770240).

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

106640000 is an frugal number, since it uses more digits than its factorization.

106640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 106640000 is about 10326.6645147405. The cubic root of 106640000 is about 474.2129162681.

Adding to 106640000 its reverse (46601), we get a palindrome (106686601).

The spelling of 106640000 in words is "one hundred six million, six hundred forty thousand".