106666367040 has 84 divisors (see below), whose sum is σ = 366887868204. Its totient is φ = 28444363776.

The previous prime is 106666367033. The next prime is 106666367047. The reversal of 106666367040 is 40763666601.

It is an interprime number because it is at equal distance from previous prime (106666367033) and next prime (106666367047).

It can be written as a sum of positive squares in 2 ways, for example, as 49572131904 + 57094235136 = 222648^2 + 238944^2 .

It is a super-2 number, since 2×106666367040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106666367047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18515587 + ... + 18521346.

Almost surely, 2^106666367040 is an apocalyptic number.

106666367040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106666367040 is an abundant number, since it is smaller than the sum of its proper divisors (260221501164).

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

106666367040 is a wasteful number, since it uses less digits than its factorization.

106666367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37036956 (or 37036943 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 106666367040 in words is "one hundred six billion, six hundred sixty-six million, three hundred sixty-seven thousand, forty".