106506061038 has 96 divisors (see below), whose sum is σ = 274573406016. Its totient is φ = 29502342144.

The previous prime is 106506061037. The next prime is 106506061049. The reversal of 106506061038 is 830160605601.

It is a happy number.

106506061038 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 0 + 6 + 0 + 610 + 38 = 666.

It is a super-2 number, since 2×106506061038² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106506060993 and 106506061011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506061037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490545 + ... + 673532.

It is an arithmetic number, because the mean of its divisors is an integer number (2860139646).

Almost surely, 2^106506061038 is an apocalyptic number.

106506061038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

106506061038 is an abundant number, since it is smaller than the sum of its proper divisors (168067344978).

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

106506061038 is a wasteful number, since it uses less digits than its factorization.

106506061038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164138 (or 1164135 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 106506061038 its reverse (830160605601), we get a palindrome (936666666639).

The spelling of 106506061038 in words is "one hundred six billion, five hundred six million, sixty-one thousand, thirty-eight".