106807038064 has 40 divisors (see below), whose sum is σ = 217854069840. Its totient is φ = 50587250688.

The previous prime is 106807038053. The next prime is 106807038067. The reversal of 106807038064 is 460830708601.

It is a super-2 number, since 2×106807038064² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106807038064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106807038067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4462032 + ... + 4485904.

It is an arithmetic number, because the mean of its divisors is an integer number (5446351746).

Almost surely, 2^106807038064 is an apocalyptic number.

It is an amenable number.

106807038064 is an abundant number, since it is smaller than the sum of its proper divisors (111047031776).

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

106807038064 is a wasteful number, since it uses less digits than its factorization.

106807038064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38617 (or 38611 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 106807038064 in words is "one hundred six billion, eight hundred seven million, thirty-eight thousand, sixty-four".