103678935843840 has 704 divisors, whose sum is σ = 392707316981760. Its totient is φ = 22853845647360.

The previous prime is 103678935843829. The next prime is 103678935843841. The reversal of 103678935843840 is 48348539876301.

It is a super-2 number, since 2×103678935843840² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103678935843841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 365103510 + ... + 365387370.

It is an arithmetic number, because the mean of its divisors is an integer number (557822893440).

Almost surely, 2^{103678935843840} is an apocalyptic number.

103678935843840 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 103678935843840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196353658490880).

103678935843840 is an abundant number, since it is smaller than the sum of its proper divisors (289028381137920).

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

103678935843840 is a wasteful number, since it uses less digits than its factorization.

103678935843840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284018 (or 284000 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 69.

The spelling of 103678935843840 in words is "one hundred three trillion, six hundred seventy-eight billion, nine hundred thirty-five million, eight hundred forty-three thousand, eight hundred forty".