105281928 has 24 divisors (see below), whose sum is σ = 285138750. Its totient is φ = 35093952.

The previous prime is 105281923. The next prime is 105281941. The reversal of 105281928 is 829182501.

It can be written as a sum of positive squares in only one way, i.e., 90212004 + 15069924 = 9498^2 + 3882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105281928² = 22168568726794368, 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 = 105281892 and 105281901.

It is not an unprimeable number, because it can be changed into a prime (105281923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 731053 + ... + 731196.

Almost surely, 2^105281928 is an apocalyptic number.

105281928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105281928 is an abundant number, since it is smaller than the sum of its proper divisors (179856822).

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

105281928 is a wasteful number, since it uses less digits than its factorization.

105281928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462261 (or 1462254 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 105281928 is about 10260.6982218561. The cubic root of 105281928 is about 472.1912587915.

The spelling of 105281928 in words is "one hundred five million, two hundred eighty-one thousand, nine hundred twenty-eight".