105086112 has 96 divisors (see below), whose sum is σ = 307540800. Its totient is φ = 31223808.

The previous prime is 105086081. The next prime is 105086141. The reversal of 105086112 is 211680501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105086112² = 22086181870553088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29314 + ... + 32702.

It is an arithmetic number, because the mean of its divisors is an integer number (3203550).

Almost surely, 2^105086112 is an apocalyptic number.

105086112 is a gapful number since it is divisible by the number (12) 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 105086112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153770400).

105086112 is an abundant number, since it is smaller than the sum of its proper divisors (202454688).

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

105086112 is a wasteful number, since it uses less digits than its factorization.

105086112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 105086112 is about 10251.1517401705. The cubic root of 105086112 is about 471.8983310658.

The spelling of 105086112 in words is "one hundred five million, eighty-six thousand, one hundred twelve".