106785585711 has 32 divisors (see below), whose sum is σ = 180816204800. Its totient is φ = 61015200480.

The previous prime is 106785585701. The next prime is 106785585761. The reversal of 106785585711 is 117585587601.

106785585711 is a `hidden beast` number, since 1 + 0 + 6 + 78 + 558 + 5 + 7 + 11 = 666.

It is not a de Polignac number, because 106785585711 - 2⁷ = 106785585583 is a prime.

It is a super-2 number, since 2×106785585711² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106785585701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4461885 + ... + 4485753.

It is an arithmetic number, because the mean of its divisors is an integer number (5650506400).

Almost surely, 2^106785585711 is an apocalyptic number.

106785585711 is a deficient number, since it is larger than the sum of its proper divisors (74030619089).

106785585711 is a wasteful number, since it uses less digits than its factorization.

106785585711 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47556 (or 47550 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 54.

The spelling of 106785585711 in words is "one hundred six billion, seven hundred eighty-five million, five hundred eighty-five thousand, seven hundred eleven".