102985848714240 has 1760 divisors, whose sum is σ = 396575935731360. Its totient is φ = 25505877196800.

The previous prime is 102985848714209. The next prime is 102985848714257. The reversal of 102985848714240 is 42417848589201.

102985848714240 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 8 + 5 + 8 + 487 + 142 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 39715405664256 + 63270443049984 = 6302016^2 + 7954272^2 .

It is a super-2 number, since 2×102985848714240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35996450410 + ... + 35996453270.

It is an arithmetic number, because the mean of its divisors is an integer number (225327236211).

Almost surely, 2^{102985848714240} is an apocalyptic number.

102985848714240 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 102985848714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198287967865680).

102985848714240 is an abundant number, since it is smaller than the sum of its proper divisors (293590087017120).

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

102985848714240 is a wasteful number, since it uses less digits than its factorization.

102985848714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3041 (or 3014 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 102985848714240 in words is "one hundred two trillion, nine hundred eighty-five billion, eight hundred forty-eight million, seven hundred fourteen thousand, two hundred forty".