102732327040 has 256 divisors, whose sum is σ = 285881944320. Its totient is φ = 34575335424.

The previous prime is 102732327031. The next prime is 102732327041. The reversal of 102732327040 is 40723237201.

It is a junction number, because it is equal to n+sod(n) for n = 102732326993 and 102732327011.

It is not an unprimeable number, because it can be changed into a prime (102732327041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64327522 + ... + 64329118.

It is an arithmetic number, because the mean of its divisors is an integer number (1116726345).

Almost surely, 2^102732327040 is an apocalyptic number.

102732327040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102732327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142940972160).

102732327040 is an abundant number, since it is smaller than the sum of its proper divisors (183149617280).

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

102732327040 is a wasteful number, since it uses less digits than its factorization.

102732327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The spelling of 102732327040 in words is "one hundred two billion, seven hundred thirty-two million, three hundred twenty-seven thousand, forty".