105286577285952 has 168 divisors, whose sum is σ = 303267111510792. Its totient is φ = 34923383193600.

The previous prime is 105286577285951. The next prime is 105286577285971. The reversal of 105286577285952 is 259582775682501.

105286577285952 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 6 + 5 + 7 + 7 + 28 + 595 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39169773547776 + 66116803738176 = 6258576^2 + 8131224^2 .

It is a super-2 number, since 2×105286577285952² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105286577285951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183088858 + ... + 183663014.

Almost surely, 2^{105286577285952} is an apocalyptic number.

105286577285952 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 105286577285952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151633555755396).

105286577285952 is an abundant number, since it is smaller than the sum of its proper divisors (197980534224840).

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

105286577285952 is a wasteful number, since it uses less digits than its factorization.

105286577285952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575737 (or 575724 counting only the distinct ones).

The product of its (nonzero) digits is 846720000, while the sum is 72.

The spelling of 105286577285952 in words is "one hundred five trillion, two hundred eighty-six billion, five hundred seventy-seven million, two hundred eighty-five thousand, nine hundred fifty-two".