106051000050 has 36 divisors (see below), whose sum is σ = 284923688010. Its totient is φ = 28280266560.

The previous prime is 106051000019. The next prime is 106051000051. The reversal of 106051000050 is 50000150601.

106051000050 is a `hidden beast` number, since 1 + 0 + 605 + 10 + 0 + 0 + 0 + 50 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 101125908009 + 4925092041 = 318003^2 + 70179^2 .

It is a super-2 number, since 2×106051000050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106050999987 and 106051000032.

It is not an unprimeable number, because it can be changed into a prime (106051000051) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117833995 + ... + 117834894.

Almost surely, 2^106051000050 is an apocalyptic number.

106051000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106051000050 is an abundant number, since it is smaller than the sum of its proper divisors (178872687960).

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

106051000050 is a wasteful number, since it uses less digits than its factorization.

106051000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235668907 (or 235668899 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 106051000050 its reverse (50000150601), we get a palindrome (156051150651).

The spelling of 106051000050 in words is "one hundred six billion, fifty-one million, fifty", and thus it is an aban number.