105142072 has 32 divisors (see below), whose sum is σ = 225640800. Its totient is φ = 44993664.

The previous prime is 105142061. The next prime is 105142073. The reversal of 105142072 is 270241501.

It is a happy number.

It is a super-2 number, since 2×105142072² = 22109710608906368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105142073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61258 + ... + 62950.

It is an arithmetic number, because the mean of its divisors is an integer number (7051275).

Almost surely, 2^105142072 is an apocalyptic number.

It is an amenable number.

105142072 is an abundant number, since it is smaller than the sum of its proper divisors (120498728).

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

105142072 is a wasteful number, since it uses less digits than its factorization.

105142072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 105142072 is about 10253.8808263018. The cubic root of 105142072 is about 471.9820806182.

Adding to 105142072 its reverse (270241501), we get a palindrome (375383573).

The spelling of 105142072 in words is "one hundred five million, one hundred forty-two thousand, seventy-two".