105475140 has 72 divisors (see below), whose sum is σ = 338771160. Its totient is φ = 26471424.

The previous prime is 105475133. The next prime is 105475177. The reversal of 105475140 is 41574501.

It is a happy number.

105475140 is a `hidden beast` number, since 105 + 47 + 514 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26193924 + 79281216 = 5118^2 + 8904^2 .

It is a super-2 number, since 2×105475140² = 22250010316039200, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14175 + ... + 20294.

It is an arithmetic number, because the mean of its divisors is an integer number (4705155).

Almost surely, 2^105475140 is an apocalyptic number.

105475140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105475140 is an abundant number, since it is smaller than the sum of its proper divisors (233296020).

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

105475140 is a wasteful number, since it uses less digits than its factorization.

105475140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34501 (or 34496 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 105475140 is about 10270.1090549224. The cubic root of 105475140 is about 472.4799353200.

The spelling of 105475140 in words is "one hundred five million, four hundred seventy-five thousand, one hundred forty".