106005013136 has 80 divisors (see below), whose sum is σ = 238547731968. Its totient is φ = 45098956800.

The previous prime is 106005013133. The next prime is 106005013141. The reversal of 106005013136 is 631310500601.

It is a super-2 number, since 2×106005013136² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005013133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 443681 + ... + 639423.

Almost surely, 2^106005013136 is an apocalyptic number.

106005013136 is a gapful number since it is divisible by the number (16) 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 106005013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119273865984).

106005013136 is an abundant number, since it is smaller than the sum of its proper divisors (132542718832).

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

106005013136 is a wasteful number, since it uses less digits than its factorization.

106005013136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195960 (or 195954 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

Adding to 106005013136 its reverse (631310500601), we get a palindrome (737315513737).

The spelling of 106005013136 in words is "one hundred six billion, five million, thirteen thousand, one hundred thirty-six".