100506105010 has 8 divisors (see below), whose sum is σ = 180910989036. Its totient is φ = 40202442000.

The previous prime is 100506104969. The next prime is 100506105013. The reversal of 100506105010 is 10501605001.

100506105010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87750435529 + 12755669481 = 296227^2 + 112941^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×100506105010² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100506105013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5025305241 + ... + 5025305260.

Almost surely, 2^100506105010 is an apocalyptic number.

100506105010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100506105010 is a deficient number, since it is larger than the sum of its proper divisors (80404884026).

100506105010 is a wasteful number, since it uses less digits than its factorization.

100506105010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10050610508.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 100506105010 in words is "one hundred billion, five hundred six million, one hundred five thousand, ten".