106005005060136 has 256 divisors, whose sum is σ = 334512004055040. Its totient is φ = 27243851765760.

The previous prime is 106005005060111. The next prime is 106005005060137. The reversal of 106005005060136 is 631060500500601.

It is a super-2 number, since 2×106005005060136² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106005005060097 and 106005005060106.

It is not an unprimeable number, because it can be changed into a prime (106005005060137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76590591 + ... + 77962353.

It is an arithmetic number, because the mean of its divisors is an integer number (1306687515840).

Almost surely, 2^{106005005060136} 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 106005005060136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167256002027520).

106005005060136 is an abundant number, since it is smaller than the sum of its proper divisors (228506998994904).

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

106005005060136 is a wasteful number, since it uses less digits than its factorization.

106005005060136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372696 (or 1372692 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 106005005060136 its reverse (631060500500601), we get a palindrome (737065505560737).

The spelling of 106005005060136 in words is "one hundred six trillion, five billion, five million, sixty thousand, one hundred thirty-six".