102543840 has 192 divisors, whose sum is σ = 410296320. Its totient is φ = 23431680.

The previous prime is 102543839. The next prime is 102543871. The reversal of 102543840 is 48345201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28545 + ... + 31935.

It is an arithmetic number, because the mean of its divisors is an integer number (2136960).

Almost surely, 2^102543840 is an apocalyptic number.

102543840 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 102543840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205148160).

102543840 is an abundant number, since it is smaller than the sum of its proper divisors (307752480).

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

102543840 is a wasteful number, since it uses less digits than its factorization.

102543840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102543840 is about 10126.3932374760. The cubic root of 102543840 is about 468.0617932871.

The spelling of 102543840 in words is "one hundred two million, five hundred forty-three thousand, eight hundred forty".