100105500000461 has 8 divisors (see below), whose sum is σ = 101383036358904. Its totient is φ = 98833579187200.

The previous prime is 100105500000421. The next prime is 100105500000491. The reversal of 100105500000461 is 164000005501001.

It can be written as a sum of positive squares in 4 ways, for example, as 67436204922025 + 32669295078436 = 8211955^2 + 5715706^2 .

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 100105500000461 - 2³⁴ = 100088320131277 is a prime.

It is a super-2 number, since 2×100105500000461² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105500000421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1403850416 + ... + 1403921721.

It is an arithmetic number, because the mean of its divisors is an integer number (12672879544863).

Almost surely, 2^{100105500000461} is an apocalyptic number.

It is an amenable number.

100105500000461 is a deficient number, since it is larger than the sum of its proper divisors (1277536358443).

100105500000461 is a wasteful number, since it uses less digits than its factorization.

100105500000461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807772591.

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 100105500000461 its reverse (164000005501001), we get a palindrome (264105505501462).

The spelling of 100105500000461 in words is "one hundred trillion, one hundred five billion, five hundred million, four hundred sixty-one", and thus it is an aban number.