103676896800 has 432 divisors, whose sum is σ = 377061382152. Its totient is φ = 26789068800.

The previous prime is 103676896781. The next prime is 103676896891. The reversal of 103676896800 is 8698676301.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 41835024 + 103635061776 = 6468^2 + 321924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46345282 + ... + 46347518.

Almost surely, 2^103676896800 is an apocalyptic number.

103676896800 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 103676896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188530691076).

103676896800 is an abundant number, since it is smaller than the sum of its proper divisors (273384485352).

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

103676896800 is a wasteful number, since it uses less digits than its factorization.

103676896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 103676896800 in words is "one hundred three billion, six hundred seventy-six million, eight hundred ninety-six thousand, eight hundred".