106364138048 has 56 divisors (see below), whose sum is σ = 242042240832. Its totient is φ = 45428995584.

The previous prime is 106364138003. The next prime is 106364138063. The reversal of 106364138048 is 840831463601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106364138048² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 273890 + ... + 536417.

It is an arithmetic number, because the mean of its divisors is an integer number (4322182872).

Almost surely, 2^106364138048 is an apocalyptic number.

It is an amenable number.

106364138048 is an abundant number, since it is smaller than the sum of its proper divisors (135678102784).

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

106364138048 is an equidigital number, since it uses as much as digits as its factorization.

106364138048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810619 (or 810609 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 106364138048 in words is "one hundred six billion, three hundred sixty-four million, one hundred thirty-eight thousand, forty-eight".