106056011004 has 72 divisors (see below), whose sum is σ = 261461542608. Its totient is φ = 33454494720.

The previous prime is 106056010981. The next prime is 106056011059. The reversal of 106056011004 is 400110650601.

It is a super-2 number, since 2×106056011004² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4063404 + ... + 4089420.

It is an arithmetic number, because the mean of its divisors is an integer number (3631410314).

Almost surely, 2^106056011004 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 106056011004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130730771304).

106056011004 is an abundant number, since it is smaller than the sum of its proper divisors (155405531604).

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

106056011004 is a wasteful number, since it uses less digits than its factorization.

106056011004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27003 (or 26982 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 106056011004 its reverse (400110650601), we get a palindrome (506166661605).

The spelling of 106056011004 in words is "one hundred six billion, fifty-six million, eleven thousand, four".