105785445672008 has 32 divisors (see below), whose sum is σ = 210015978643800. Its totient is φ = 49781207089152.

The previous prime is 105785445671933. The next prime is 105785445672031. The reversal of 105785445672008 is 800276544587501.

It can be written as a sum of positive squares in 4 ways, for example, as 67483234773124 + 38302210898884 = 8214818^2 + 6188878^2 .

It is a super-2 number, since 2×105785445672008² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41315516 + ... + 43801172.

Almost surely, 2^{105785445672008} is an apocalyptic number.

It is an amenable number.

105785445672008 is a deficient number, since it is larger than the sum of its proper divisors (104230532971792).

105785445672008 is a wasteful number, since it uses less digits than its factorization.

105785445672008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798609 (or 2798605 counting only the distinct ones).

The product of its (nonzero) digits is 75264000, while the sum is 62.

The spelling of 105785445672008 in words is "one hundred five trillion, seven hundred eighty-five billion, four hundred forty-five million, six hundred seventy-two thousand, eight".