10279879104 has 112 divisors (see below), whose sum is σ = 30303069696. Its totient is φ = 3048806400.

The previous prime is 10279879091. The next prime is 10279879117. The reversal of 10279879104 is 40197897201.

It is an interprime number because it is at equal distance from previous prime (10279879091) and next prime (10279879117).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47484 + ... + 151044.

Almost surely, 2^10279879104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10279879104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15151534848).

10279879104 is an abundant number, since it is smaller than the sum of its proper divisors (20023190592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10279879104 is a wasteful number, since it uses less digits than its factorization.

10279879104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103634 (or 103624 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 48.

The spelling of 10279879104 in words is "ten billion, two hundred seventy-nine million, eight hundred seventy-nine thousand, one hundred four".