103640828368896 has 1920 divisors, whose sum is σ = 391575824640000. Its totient is φ = 27137785135104.

The previous prime is 103640828368879. The next prime is 103640828368927. The reversal of 103640828368896 is 698863828046301.

103640828368896 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 408 + 2 + 83 + 68 + 89 + 6 = 666.

It is a super-3 number, since 3×103640828368896³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 123528996445 + ... + 123528997283.

It is an arithmetic number, because the mean of its divisors is an integer number (203945742000).

Almost surely, 2^{103640828368896} is an apocalyptic number.

103640828368896 is a gapful number since it is divisible by the number (16) 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 103640828368896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195787912320000).

103640828368896 is an abundant number, since it is smaller than the sum of its proper divisors (287934996271104).

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

103640828368896 is an equidigital number, since it uses as much as digits as its factorization.

103640828368896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 103640828368896 in words is "one hundred three trillion, six hundred forty billion, eight hundred twenty-eight million, three hundred sixty-eight thousand, eight hundred ninety-six".