105031036071 has 16 divisors (see below), whose sum is σ = 167570884320. Its totient is φ = 64634483520.

The previous prime is 105031036037. The next prime is 105031036079. The reversal of 105031036071 is 170630130501.

105031036071 is a `hidden beast` number, since 1 + 0 + 50 + 3 + 1 + 0 + 3 + 607 + 1 = 666.

It is not a de Polignac number, because 105031036071 - 2⁷ = 105031035943 is a prime.

It is a super-2 number, since 2×105031036071² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105031036079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149616510 + ... + 149617211.

It is an arithmetic number, because the mean of its divisors is an integer number (10473180270).

Almost surely, 2^105031036071 is an apocalyptic number.

105031036071 is a deficient number, since it is larger than the sum of its proper divisors (62539848249).

105031036071 is a wasteful number, since it uses less digits than its factorization.

105031036071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299233743 (or 299233737 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

Adding to 105031036071 its reverse (170630130501), we get a palindrome (275661166572).

The spelling of 105031036071 in words is "one hundred five billion, thirty-one million, thirty-six thousand, seventy-one".