78567249103 has 48 divisors (see below), whose sum is σ = 93799200000. Its totient is φ = 65599269120.

The previous prime is 78567249097. The next prime is 78567249107. The reversal of 78567249103 is 30194276587.

It is a de Polignac number, because none of the positive numbers 2^k-78567249103 is a prime.

It is a super-2 number, since 2×78567249103² (a number of 23 digits) contains 22 as substring.

It is the 280299-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78567249107) by changing a digit.

It is a nontrivial repunit in base 280298.

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 47 ways as a sum of consecutive naturals, for example, 157449148 + ... + 157449646.

It is an arithmetic number, because the mean of its divisors is an integer number (1954150000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅78567249103 = 157134498206, but 3⋅78567249103 = 235701747309 is not.

Almost surely, 2^78567249103 is an apocalyptic number.

78567249103 is a deficient number, since it is larger than the sum of its proper divisors (15231950897).

78567249103 is a wasteful number, since it uses less digits than its factorization.

78567249103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 78567249103 in words is "seventy-eight billion, five hundred sixty-seven million, two hundred forty-nine thousand, one hundred three".