105141072 has 20 divisors (see below), whose sum is σ = 271614560. Its totient is φ = 35047008.

The previous prime is 105141007. The next prime is 105141077. The reversal of 105141072 is 270141501.

It is a happy number.

It is a super-2 number, since 2×105141072² = 22109290042618368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105141077) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1095172 + ... + 1095267.

It is an arithmetic number, because the mean of its divisors is an integer number (13580728).

Almost surely, 2^105141072 is an apocalyptic number.

105141072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105141072 is an abundant number, since it is smaller than the sum of its proper divisors (166473488).

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

105141072 is a wasteful number, since it uses less digits than its factorization.

105141072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190450 (or 2190444 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105141072 is about 10253.8320641602. The cubic root of 105141072 is about 471.9805842823.

Adding to 105141072 its reverse (270141501), we get a palindrome (375282573).

The spelling of 105141072 in words is "one hundred five million, one hundred forty-one thousand, seventy-two".