100065253415743 has 16 divisors (see below), whose sum is σ = 124757346663936. Its totient is φ = 77972507814240.

The previous prime is 100065253415639. The next prime is 100065253415773. The reversal of 100065253415743 is 347514352560001.

It is a cyclic number.

It is not a de Polignac number, because 100065253415743 - 2²⁵ = 100065219861311 is a prime.

It is a super-2 number, since 2×100065253415743² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100065253415693 and 100065253415702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100065253415773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11432205 + ... + 18188617.

It is an arithmetic number, because the mean of its divisors is an integer number (7797334166496).

Almost surely, 2^{100065253415743} is an apocalyptic number.

100065253415743 is a deficient number, since it is larger than the sum of its proper divisors (24692093248193).

100065253415743 is a wasteful number, since it uses less digits than its factorization.

100065253415743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948774.

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 100065253415743 in words is "one hundred trillion, sixty-five billion, two hundred fifty-three million, four hundred fifteen thousand, seven hundred forty-three".