105056061056 has 64 divisors (see below), whose sum is σ = 210763432320. Its totient is φ = 52159168512.

The previous prime is 105056061053. The next prime is 105056061059. The reversal of 105056061056 is 650160650501.

It is an interprime number because it is at equal distance from previous prime (105056061053) and next prime (105056061059).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105056061056² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105056061053) 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, 44084441 + ... + 44086823.

It is an arithmetic number, because the mean of its divisors is an integer number (3293178630).

Almost surely, 2^105056061056 is an apocalyptic number.

105056061056 is a gapful number since it is divisible by the number (16) 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 105056061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105381716160).

105056061056 is an abundant number, since it is smaller than the sum of its proper divisors (105707371264).

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

105056061056 is a wasteful number, since it uses less digits than its factorization.

105056061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105056061056 in words is "one hundred five billion, fifty-six million, sixty-one thousand, fifty-six".