101508508816 has 135 divisors (see below), whose sum is σ = 234506678763. Its totient is φ = 42514517760.

The previous prime is 101508508789. The next prime is 101508508847. The reversal of 101508508816 is 618805805101.

The square root of 101508508816 is 318604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 59827203216 + 41681305600 = 244596^2 + 204160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 182241210 + ... + 182241766.

Almost surely, 2^101508508816 is an apocalyptic number.

101508508816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101508508816 is the 318604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101508508816

101508508816 is an abundant number, since it is smaller than the sum of its proper divisors (132998169947).

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

101508508816 is an equidigital number, since it uses as much as digits as its factorization.

101508508816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 43.

The spelling of 101508508816 in words is "one hundred one billion, five hundred eight million, five hundred eight thousand, eight hundred sixteen".