102723660352 has 112 divisors (see below), whose sum is σ = 219741292800. Its totient is φ = 47467929600.

The previous prime is 102723660293. The next prime is 102723660499. The reversal of 102723660352 is 253066327201.

102723660352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102723660352² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 60460399 + ... + 60462097.

Almost surely, 2^102723660352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102723660352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109870646400).

102723660352 is an abundant number, since it is smaller than the sum of its proper divisors (117017632448).

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

102723660352 is a wasteful number, since it uses less digits than its factorization.

102723660352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

Adding to 102723660352 its reverse (253066327201), we get a palindrome (355789987553).

The spelling of 102723660352 in words is "one hundred two billion, seven hundred twenty-three million, six hundred sixty thousand, three hundred fifty-two".