102471692544 has 729 divisors, whose sum is σ = 350619605973. Its totient is φ = 29870290944.

The previous prime is 102471692537. The next prime is 102471692551. The reversal of 102471692544 is 445296174201.

The square root of 102471692544 is 320112.

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

102471692544 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 7 + 16 + 92 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (102471692537) and next prime (102471692551).

It can be written as a sum of positive squares in only one way, i.e., 15158534400 + 87313158144 = 123120^2 + 295488^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a self number, because there is not a number n which added to its sum of digits gives 102471692544.

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 80 ways as a sum of consecutive naturals, for example, 5393246967 + ... + 5393246985.

Almost surely, 2^102471692544 is an apocalyptic number.

102471692544 is the 320112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102471692544

102471692544 is an abundant number, since it is smaller than the sum of its proper divisors (248147913429).

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

102471692544 is an frugal number, since it uses more digits than its factorization.

102471692544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 102471692544 in words is "one hundred two billion, four hundred seventy-one million, six hundred ninety-two thousand, five hundred forty-four".