105112728 has 80 divisors (see below), whose sum is σ = 336486480. Its totient is φ = 30030912.

The previous prime is 105112703. The next prime is 105112729. The reversal of 105112728 is 827211501.

It is a super-2 number, since 2×105112728² = 22097371175203968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105112729) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7051 + ... + 16122.

It is an arithmetic number, because the mean of its divisors is an integer number (4206081).

Almost surely, 2^105112728 is an apocalyptic number.

105112728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105112728 is an abundant number, since it is smaller than the sum of its proper divisors (231373752).

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

105112728 is a wasteful number, since it uses less digits than its factorization.

105112728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23198 (or 23185 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 105112728 is about 10252.4498535716. The cubic root of 105112728 is about 471.9381681907.

The spelling of 105112728 in words is "one hundred five million, one hundred twelve thousand, seven hundred twenty-eight".