105039386770752 has 448 divisors, whose sum is σ = 373944609894400. Its totient is φ = 28243414886400.

The previous prime is 105039386770727. The next prime is 105039386770753. The reversal of 105039386770752 is 257077683930501.

105039386770752 is a `hidden beast` number, since 1 + 0 + 50 + 393 + 8 + 67 + 70 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×105039386770752³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 105039386770752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105039386770753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33190038 + ... + 36216810.

Almost surely, 2^{105039386770752} is an apocalyptic number.

105039386770752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105039386770752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186972304947200).

105039386770752 is an abundant number, since it is smaller than the sum of its proper divisors (268905223123648).

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

105039386770752 is a wasteful number, since it uses less digits than its factorization.

105039386770752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026971 (or 3026955 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 105039386770752 in words is "one hundred five trillion, thirty-nine billion, three hundred eighty-six million, seven hundred seventy thousand, seven hundred fifty-two".