101206067478705 has 36 divisors (see below), whose sum is σ = 204064478920692. Its totient is φ = 46265630846400.

The previous prime is 101206067478673. The next prime is 101206067478773. The reversal of 101206067478705 is 507874760602101.

101206067478705 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 606 + 7 + 4 + 7 + 8 + 7 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51274206681201 + 49931860797504 = 7160601^2 + 7066248^2 .

It is not a de Polignac number, because 101206067478705 - 2⁵ = 101206067478673 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22949219446 + ... + 22949223855.

It is an arithmetic number, because the mean of its divisors is an integer number (5668457747797).

Almost surely, 2^{101206067478705} is an apocalyptic number.

101206067478705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101206067478705 is an abundant number, since it is smaller than the sum of its proper divisors (102858411441987).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101206067478705 is a wasteful number, since it uses less digits than its factorization.

101206067478705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45898443326 (or 45898443316 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 101206067478705 in words is "one hundred one trillion, two hundred six billion, sixty-seven million, four hundred seventy-eight thousand, seven hundred five".