104010407761 has 8 divisors (see below), whose sum is σ = 112579795944. Its totient is φ = 95522246400.

The previous prime is 104010407749. The next prime is 104010407773. The reversal of 104010407761 is 167704010401.

It is an interprime number because it is at equal distance from previous prime (104010407749) and next prime (104010407773).

It can be written as a sum of positive squares in 4 ways, for example, as 23876121361 + 80134286400 = 154519^2 + 283080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 104010407761 - 2⁵ = 104010407729 is a prime.

It is a super-3 number, since 3×104010407761³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104010407741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20304040 + ... + 20309161.

It is an arithmetic number, because the mean of its divisors is an integer number (14072474493).

Almost surely, 2^104010407761 is an apocalyptic number.

It is an amenable number.

104010407761 is a deficient number, since it is larger than the sum of its proper divisors (8569388183).

104010407761 is a wasteful number, since it uses less digits than its factorization.

104010407761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40613411.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 104010407761 in words is "one hundred four billion, ten million, four hundred seven thousand, seven hundred sixty-one".