102885738340 has 192 divisors, whose sum is σ = 284701132800. Its totient is φ = 30257280000.

The previous prime is 102885738337. The next prime is 102885738343. The reversal of 102885738340 is 43837588201.

It is an interprime number because it is at equal distance from previous prime (102885738337) and next prime (102885738343).

It is not an unprimeable number, because it can be changed into a prime (102885738343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7337256 + ... + 7351264.

It is an arithmetic number, because the mean of its divisors is an integer number (1482818400).

Almost surely, 2^102885738340 is an apocalyptic number.

102885738340 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 102885738340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142350566400).

102885738340 is an abundant number, since it is smaller than the sum of its proper divisors (181815394460).

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

102885738340 is a wasteful number, since it uses less digits than its factorization.

102885738340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14306 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 102885738340 in words is "one hundred two billion, eight hundred eighty-five million, seven hundred thirty-eight thousand, three hundred forty".