10073179116 has 1008 divisors, whose sum is σ = 39563627040. Its totient is φ = 2194698240.

The previous prime is 10073179093. The next prime is 10073179139. The reversal of 10073179116 is 61197137001.

It is an interprime number because it is at equal distance from previous prime (10073179093) and next prime (10073179139).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 347350990 + ... + 347351018.

It is an arithmetic number, because the mean of its divisors is an integer number (39249630).

Almost surely, 2^10073179116 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 10073179116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19781813520).

10073179116 is an abundant number, since it is smaller than the sum of its proper divisors (29490447924).

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

10073179116 is a wasteful number, since it uses less digits than its factorization.

10073179116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 10073179116 in words is "ten billion, seventy-three million, one hundred seventy-nine thousand, one hundred sixteen".