105072754331337 has 8 divisors (see below), whose sum is σ = 150873698527104. Its totient is φ = 64660156511568.

The previous prime is 105072754331327. The next prime is 105072754331339. The reversal of 105072754331337 is 733133457270501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105072754331337 - 2¹⁴ = 105072754314953 is a prime.

It is a super-2 number, since 2×105072754331337² (a number of 29 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 105072754331337.

It is not an unprimeable number, because it can be changed into a prime (105072754331339) 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, 1347086593953 + ... + 1347086594030.

It is an arithmetic number, because the mean of its divisors is an integer number (18859212315888).

Almost surely, 2^{105072754331337} is an apocalyptic number.

It is an amenable number.

105072754331337 is a deficient number, since it is larger than the sum of its proper divisors (45800944195767).

105072754331337 is a wasteful number, since it uses less digits than its factorization.

105072754331337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694173187999.

The product of its (nonzero) digits is 5556600, while the sum is 51.

The spelling of 105072754331337 in words is "one hundred five trillion, seventy-two billion, seven hundred fifty-four million, three hundred thirty-one thousand, three hundred thirty-seven".