105827458976 has 48 divisors (see below), whose sum is σ = 213804759168. Its totient is φ = 51532377600.

The previous prime is 105827458973. The next prime is 105827458981. The reversal of 105827458976 is 679854728501.

It is a super-2 number, since 2×105827458976² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105827458973) 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, 678521 + ... + 819783.

It is an arithmetic number, because the mean of its divisors is an integer number (4454265816).

Almost surely, 2^105827458976 is an apocalyptic number.

105827458976 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 105827458976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106902379584).

105827458976 is an abundant number, since it is smaller than the sum of its proper divisors (107977300192).

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

105827458976 is a wasteful number, since it uses less digits than its factorization.

105827458976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141885 (or 141877 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 62.

The spelling of 105827458976 in words is "one hundred five billion, eight hundred twenty-seven million, four hundred fifty-eight thousand, nine hundred seventy-six".