105020570776938 has 32 divisors (see below), whose sum is σ = 210256296112896. Its totient is φ = 34971001648128.

The previous prime is 105020570776931. The next prime is 105020570776949. The reversal of 105020570776938 is 839677075020501.

It is a happy number.

It is a super-3 number, since 3×105020570776938³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105020570776931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111883770 + ... + 112818522.

It is an arithmetic number, because the mean of its divisors is an integer number (6570509253528).

Almost surely, 2^{105020570776938} is an apocalyptic number.

105020570776938 is an abundant number, since it is smaller than the sum of its proper divisors (105235725335958).

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

105020570776938 is a wasteful number, since it uses less digits than its factorization.

105020570776938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953918.

The product of its (nonzero) digits is 22226400, while the sum is 60.

The spelling of 105020570776938 in words is "one hundred five trillion, twenty billion, five hundred seventy million, seven hundred seventy-six thousand, nine hundred thirty-eight".