106004080 has 80 divisors (see below), whose sum is σ = 303355584. Its totient is φ = 33546240.

The previous prime is 106004071. The next prime is 106004083. The reversal of 106004080 is 80400601.

106004080 is a nontrivial binomial coefficient, being equal to C(14561, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106004080² = 22473729953292800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 14560.

Almost surely, 2^106004080 is an apocalyptic number.

106004080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106004080 is the 14560-th triangular number.

106004080 is the 4854-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151677792).

106004080 is an abundant number, since it is smaller than the sum of its proper divisors (197351504).

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

106004080 is a wasteful number, since it uses less digits than its factorization.

106004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14594 (or 14588 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 106004080 is about 10295.8282813963. The cubic root of 106004080 is about 473.2684210837.

Adding to 106004080 its reverse (80400601), we get a palindrome (186404681).

The spelling of 106004080 in words is "one hundred six million, four thousand, eighty".