102732404361552 has 1440 divisors, whose sum is σ = 368980269465600. Its totient is φ = 26500981248000.

The previous prime is 102732404361493. The next prime is 102732404361569. The reversal of 102732404361552 is 255163404237201.

102732404361552 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 3 + 24 + 0 + 4 + 3 + 615 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 102732404361498 and 102732404361507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79699304524 + ... + 79699305812.

It is an arithmetic number, because the mean of its divisors is an integer number (256236298240).

Almost surely, 2^{102732404361552} is an apocalyptic number.

102732404361552 is a gapful number since it is divisible by the number (12) 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 102732404361552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184490134732800).

102732404361552 is an abundant number, since it is smaller than the sum of its proper divisors (266247865104048).

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

102732404361552 is a wasteful number, since it uses less digits than its factorization.

102732404361552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 102732404361552 its reverse (255163404237201), we get a palindrome (357895808598753).

The spelling of 102732404361552 in words is "one hundred two trillion, seven hundred thirty-two billion, four hundred four million, three hundred sixty-one thousand, five hundred fifty-two".