20147240106 has 128 divisors (see below), whose sum is σ = 51869030400. Its totient is φ = 5678000640.

The previous prime is 20147240051. The next prime is 20147240117. The reversal of 20147240106 is 60104274102.

It is a super-3 number, since 3×20147240106³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20147240106.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8862586 + ... + 8864858.

It is an arithmetic number, because the mean of its divisors is an integer number (405226800).

Almost surely, 2^20147240106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20147240106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25934515200).

20147240106 is an abundant number, since it is smaller than the sum of its proper divisors (31721790294).

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

20147240106 is a wasteful number, since it uses less digits than its factorization.

20147240106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 20147240106 in words is "twenty billion, one hundred forty-seven million, two hundred forty thousand, one hundred six".