105142947 has 16 divisors (see below), whose sum is σ = 172542720. Its totient is φ = 55459872.

The previous prime is 105142907. The next prime is 105142957. The reversal of 105142947 is 749241501.

It is a happy number.

It is not a de Polignac number, because 105142947 - 2⁶ = 105142883 is a prime.

It is a super-2 number, since 2×105142947² = 22110078607689618, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105142907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192297 + ... + 192842.

It is an arithmetic number, because the mean of its divisors is an integer number (10783920).

Almost surely, 2^105142947 is an apocalyptic number.

105142947 is a deficient number, since it is larger than the sum of its proper divisors (67399773).

105142947 is a wasteful number, since it uses less digits than its factorization.

105142947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385162.

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 105142947 is about 10253.9234929855. The cubic root of 105142947 is about 471.9833899043.

The spelling of 105142947 in words is "one hundred five million, one hundred forty-two thousand, nine hundred forty-seven".