10106979930000 has 1600 divisors, whose sum is σ = 38971637084160. Its totient is φ = 2532720960000.

The previous prime is 10106979929987. The next prime is 10106979930007. The reversal of 10106979930000 is 3997960101.

10106979930000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10106979930007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35713709859 + ... + 35713710141.

Almost surely, 2^{10106979930000} is an apocalyptic number.

10106979930000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106979930000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19485818542080).

10106979930000 is an abundant number, since it is smaller than the sum of its proper divisors (28864657154160).

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

10106979930000 is an frugal number, since it uses more digits than its factorization.

10106979930000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 10106979930000 in words is "ten trillion, one hundred six billion, nine hundred seventy-nine million, nine hundred thirty thousand".