106061040 has 120 divisors (see below), whose sum is σ = 374983440. Its totient is φ = 26790912.

The previous prime is 106061029. The next prime is 106061047. The reversal of 106061040 is 40160601.

106061040 is a `hidden beast` number, since 10 + 6 + 0 + 610 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×106061040³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106061047) 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 23 ways as a sum of consecutive naturals, for example, 9804 + ... + 17556.

It is an arithmetic number, because the mean of its divisors is an integer number (3124862).

Almost surely, 2^106061040 is an apocalyptic number.

106061040 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 106061040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187491720).

106061040 is an abundant number, since it is smaller than the sum of its proper divisors (268922400).

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

106061040 is a wasteful number, since it uses less digits than its factorization.

106061040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7791 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106061040 is about 10298.5940788051. The cubic root of 106061040 is about 473.3531742438.

The spelling of 106061040 in words is "one hundred six million, sixty-one thousand, forty".