105461928 has 96 divisors (see below), whose sum is σ = 335593440. Its totient is φ = 29496960.

The previous prime is 105461921. The next prime is 105461957. The reversal of 105461928 is 829164501.

105461928 is a `hidden beast` number, since 10 + 5 + 4 + 619 + 28 = 666.

It is a super-2 number, since 2×105461928² = 22244436514954368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105461892 and 105461901.

It is not an unprimeable number, because it can be changed into a prime (105461921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5175 + ... + 15417.

It is an arithmetic number, because the mean of its divisors is an integer number (3495765).

Almost surely, 2^105461928 is an apocalyptic number.

105461928 is a gapful number since it is divisible by the number (18) 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 105461928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167796720).

105461928 is an abundant number, since it is smaller than the sum of its proper divisors (230131512).

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

105461928 is a wasteful number, since it uses less digits than its factorization.

105461928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10279 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 105461928 is about 10269.4658088919. The cubic root of 105461928 is about 472.4602066093.

The spelling of 105461928 in words is "one hundred five million, four hundred sixty-one thousand, nine hundred twenty-eight".