105471136 has 24 divisors (see below), whose sum is σ = 207888660. Its totient is φ = 52674048.

The previous prime is 105471133. The next prime is 105471137. The reversal of 105471136 is 631174501.

It can be written as a sum of positive squares in 2 ways, for example, as 103632400 + 1838736 = 10180^2 + 1356^2 .

It is a super-2 number, since 2×105471136² = 22248321058260992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105471133) 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 3 ways as a sum of consecutive naturals, for example, 39970 + ... + 42526.

Almost surely, 2^105471136 is an apocalyptic number.

105471136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105471136 is the 5490-th centered heptagonal number.

It is an amenable number.

105471136 is a deficient number, since it is larger than the sum of its proper divisors (102417524).

105471136 is a wasteful number, since it uses less digits than its factorization.

105471136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3848 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 105471136 is about 10269.9141184335. The cubic root of 105471136 is about 472.4739565538.

The spelling of 105471136 in words is "one hundred five million, four hundred seventy-one thousand, one hundred thirty-six".