100010506016 has 12 divisors (see below), whose sum is σ = 196895683782. Its totient is φ = 50005252992.

The previous prime is 100010506009. The next prime is 100010506019. The reversal of 100010506016 is 610605010001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 68646096016 + 31364410000 = 262004^2 + 177100^2 .

It is not an unprimeable number, because it can be changed into a prime (100010506019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562664125 + ... + 1562664188.

Almost surely, 2^100010506016 is an apocalyptic number.

100010506016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100010506016 is a deficient number, since it is larger than the sum of its proper divisors (96885177766).

100010506016 is an equidigital number, since it uses as much as digits as its factorization.

100010506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125328323 (or 3125328315 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 100010506016 its reverse (610605010001), we get a palindrome (710615516017).

The spelling of 100010506016 in words is "one hundred billion, ten million, five hundred six thousand, sixteen".