106005651138 has 12 divisors (see below), whose sum is σ = 229678910838. Its totient is φ = 35335217040.

The previous prime is 106005651133. The next prime is 106005651139. The reversal of 106005651138 is 831156500601.

106005651138 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 56 + 511 + 38 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83288228409 + 22717422729 = 288597^2 + 150723^2 .

It is a super-2 number, since 2×106005651138² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005651133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2944601403 + ... + 2944601438.

Almost surely, 2^106005651138 is an apocalyptic number.

106005651138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106005651138 is an abundant number, since it is smaller than the sum of its proper divisors (123673259700).

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

106005651138 is a wasteful number, since it uses less digits than its factorization.

106005651138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5889202849 (or 5889202846 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 106005651138 in words is "one hundred six billion, five million, six hundred fifty-one thousand, one hundred thirty-eight".