101065496464 has 135 divisors (see below), whose sum is σ = 213552647697. Its totient is φ = 46328097024.

The previous prime is 101065496461. The next prime is 101065496473. The reversal of 101065496464 is 464694560101.

The square root of 101065496464 is 317908.

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

It can be written as a sum of positive squares in only one way, i.e., 19406718864 + 81658777600 = 139308^2 + 285760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101065496461) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1135567332 + ... + 1135567420.

Almost surely, 2^101065496464 is an apocalyptic number.

101065496464 is the 317908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101065496464

101065496464 is an abundant number, since it is smaller than the sum of its proper divisors (112487151233).

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

101065496464 is an frugal number, since it uses more digits than its factorization.

101065496464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

It can be divided in two parts, 101065 and 496464, that added together give a square (597529 = 773²).

The spelling of 101065496464 in words is "one hundred one billion, sixty-five million, four hundred ninety-six thousand, four hundred sixty-four".