106862071041 has 32 divisors (see below), whose sum is σ = 172846588800. Its totient is φ = 64712312640.

The previous prime is 106862071039. The next prime is 106862071061. The reversal of 106862071041 is 140170268601.

It is a happy number.

106862071041 is a `hidden beast` number, since 10 + 6 + 8 + 620 + 7 + 10 + 4 + 1 = 666.

It is not a de Polignac number, because 106862071041 - 2¹ = 106862071039 is a prime.

It is a super-2 number, since 2×106862071041² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106862070987 and 106862071005.

It is not an unprimeable number, because it can be changed into a prime (106862071031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 221955 + ... + 512823.

It is an arithmetic number, because the mean of its divisors is an integer number (5401455900).

Almost surely, 2^106862071041 is an apocalyptic number.

106862071041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106862071041 is a deficient number, since it is larger than the sum of its proper divisors (65984517759).

106862071041 is a wasteful number, since it uses less digits than its factorization.

106862071041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292126 (or 292120 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 106862071041 in words is "one hundred six billion, eight hundred sixty-two million, seventy-one thousand, forty-one".