100527152672 has 24 divisors (see below), whose sum is σ = 198099432972. Its totient is φ = 50216185600.

The previous prime is 100527152653. The next prime is 100527152681. The reversal of 100527152672 is 276251725001.

100527152672 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 94738377616 + 5788775056 = 307796^2 + 76084^2 .

It is an unprimeable number.

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, 1446479 + ... + 1514382.

Almost surely, 2^100527152672 is an apocalyptic number.

It is an amenable number.

100527152672 is a deficient number, since it is larger than the sum of its proper divisors (97572280300).

100527152672 is a wasteful number, since it uses less digits than its factorization.

100527152672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961932 (or 2961924 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

Adding to 100527152672 its reverse (276251725001), we get a palindrome (376778877673).

The spelling of 100527152672 in words is "one hundred billion, five hundred twenty-seven million, one hundred fifty-two thousand, six hundred seventy-two".