101705455672461 has 6 divisors (see below), whose sum is σ = 146907880415790. Its totient is φ = 67803637114968.

The previous prime is 101705455672433. The next prime is 101705455672573. The reversal of 101705455672461 is 164276554507101.

101705455672461 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 0 + 5 + 4 + 556 + 7 + 24 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96739715853225 + 4965739819236 = 9835635^2 + 2228394^2 .

It is not a de Polignac number, because 101705455672461 - 2¹⁵ = 101705455639693 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101705455672398 and 101705455672407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101705455674461) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5650303092906 + ... + 5650303092923.

It is an arithmetic number, because the mean of its divisors is an integer number (24484646735965).

Almost surely, 2^{101705455672461} is an apocalyptic number.

It is an amenable number.

101705455672461 is a deficient number, since it is larger than the sum of its proper divisors (45202424743329).

101705455672461 is a wasteful number, since it uses less digits than its factorization.

101705455672461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300606185835 (or 11300606185832 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 101705455672461 in words is "one hundred one trillion, seven hundred five billion, four hundred fifty-five million, six hundred seventy-two thousand, four hundred sixty-one".