106056101006004 has 192 divisors, whose sum is σ = 265297861914624. Its totient is φ = 32895060194304.

The previous prime is 106056101005937. The next prime is 106056101006021. The reversal of 106056101006004 is 400600101650601.

It is a super-2 number, since 2×106056101006004² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 9543421152 + ... + 9543432264.

It is an arithmetic number, because the mean of its divisors is an integer number (1381759697472).

Almost surely, 2^{106056101006004} 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 106056101006004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132648930957312).

106056101006004 is an abundant number, since it is smaller than the sum of its proper divisors (159241760908620).

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

106056101006004 is a wasteful number, since it uses less digits than its factorization.

106056101006004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14366 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 106056101006004 its reverse (400600101650601), we get a palindrome (506656202656605).

The spelling of 106056101006004 in words is "one hundred six trillion, fifty-six billion, one hundred one million, six thousand, four".