101968455625 has 45 divisors (see below), whose sum is σ = 130410402969. Its totient is φ = 79703520000.

The previous prime is 101968455583. The next prime is 101968455629. The reversal of 101968455625 is 526554869101.

The square root of 101968455625 is 319325.

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

It can be written as a sum of positive squares in 22 ways, for example, as 97570643769 + 4397811856 = 312363^2 + 66316^2 .

It is not a de Polignac number, because 101968455625 - 2¹¹ = 101968453577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101968455629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 423105505 + ... + 423105745.

Almost surely, 2^101968455625 is an apocalyptic number.

101968455625 is the 319325-th square number.

101968455625 is the 159663-rd centered octagonal number.

It is an amenable number.

101968455625 is a deficient number, since it is larger than the sum of its proper divisors (28441947344).

101968455625 is an frugal number, since it uses more digits than its factorization.

101968455625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 52.

The spelling of 101968455625 in words is "one hundred one billion, nine hundred sixty-eight million, four hundred fifty-five thousand, six hundred twenty-five".