102692047936 has 63 divisors (see below), whose sum is σ = 209084997247. Its totient is φ = 50042408960.

The previous prime is 102692047879. The next prime is 102692047937. The reversal of 102692047936 is 639740296201.

The square root of 102692047936 is 320456.

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 128142400 + 102563905536 = 11320^2 + 320256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102692047936.

It is not an unprimeable number, because it can be changed into a prime (102692047937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105109080 + ... + 105110056.

Almost surely, 2^102692047936 is an apocalyptic number.

102692047936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102692047936 is the 320456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102692047936

102692047936 is an abundant number, since it is smaller than the sum of its proper divisors (106392949311).

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

102692047936 is an frugal number, since it uses more digits than its factorization.

102692047936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

Multiplying 102692047936 by its sum of digits (49), we get a square (5031910348864 = 2243192²).

The spelling of 102692047936 in words is "one hundred two billion, six hundred ninety-two million, forty-seven thousand, nine hundred thirty-six".