105075456552 has 256 divisors, whose sum is σ = 325721088000. Its totient is φ = 31114886400.

The previous prime is 105075456539. The next prime is 105075456557. The reversal of 105075456552 is 255654570501.

105075456552 is a `hidden beast` number, since 1 + 0 + 50 + 7 + 5 + 45 + 6 + 552 = 666.

It is a super-2 number, since 2×105075456552² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105075456498 and 105075456507.

It is not an unprimeable number, because it can be changed into a prime (105075456557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34124949 + ... + 34128027.

It is an arithmetic number, because the mean of its divisors is an integer number (1272348000).

Almost surely, 2^105075456552 is an apocalyptic number.

105075456552 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 105075456552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162860544000).

105075456552 is an abundant number, since it is smaller than the sum of its proper divisors (220645631448).

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

105075456552 is a wasteful number, since it uses less digits than its factorization.

105075456552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3429 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 1050000, while the sum is 45.

The spelling of 105075456552 in words is "one hundred five billion, seventy-five million, four hundred fifty-six thousand, five hundred fifty-two".