101783768417 has 12 divisors (see below), whose sum is σ = 110042841636. Its totient is φ = 94074842880.

The previous prime is 101783768399. The next prime is 101783768419. The reversal of 101783768417 is 714867387101.

It can be written as a sum of positive squares in 2 ways, for example, as 40172585761 + 61611182656 = 200431^2 + 248216^2 .

It is not a de Polignac number, because 101783768417 - 2⁶ = 101783768353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101783768419) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3423608 + ... + 3453209.

It is an arithmetic number, because the mean of its divisors is an integer number (9170236803).

Almost surely, 2^101783768417 is an apocalyptic number.

It is an amenable number.

101783768417 is a deficient number, since it is larger than the sum of its proper divisors (8259073219).

101783768417 is an equidigital number, since it uses as much as digits as its factorization.

101783768417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876896 (or 6876877 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 53.

The spelling of 101783768417 in words is "one hundred one billion, seven hundred eighty-three million, seven hundred sixty-eight thousand, four hundred seventeen".