106073767000 has 64 divisors (see below), whose sum is σ = 248264303040. Its totient is φ = 42420672000.

The previous prime is 106073766991. The next prime is 106073767021. The reversal of 106073767000 is 767370601.

It is a super-2 number, since 2×106073767000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7049485 + ... + 7064515.

It is an arithmetic number, because the mean of its divisors is an integer number (3879129735).

Almost surely, 2^106073767000 is an apocalyptic number.

106073767000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106073767000 is an abundant number, since it is smaller than the sum of its proper divisors (142190536040).

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

106073767000 is a wasteful number, since it uses less digits than its factorization.

106073767000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22109 (or 22095 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 37.

The spelling of 106073767000 in words is "one hundred six billion, seventy-three million, seven hundred sixty-seven thousand".