105755128 has 8 divisors (see below), whose sum is σ = 198290880. Its totient is φ = 52877560.

The previous prime is 105755071. The next prime is 105755131. The reversal of 105755128 is 821557501.

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-4 number, since 4×105755128⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105755093 and 105755102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6609688 + ... + 6609703.

It is an arithmetic number, because the mean of its divisors is an integer number (24786360).

Almost surely, 2^105755128 is an apocalyptic number.

It is an amenable number.

105755128 is a deficient number, since it is larger than the sum of its proper divisors (92535752).

105755128 is a wasteful number, since it uses less digits than its factorization.

105755128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13219397 (or 13219393 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 34.

The square root of 105755128 is about 10283.7312294711. The cubic root of 105755128 is about 472.8976382631.

The spelling of 105755128 in words is "one hundred five million, seven hundred fifty-five thousand, one hundred twenty-eight".