103779804800 has 288 divisors, whose sum is σ = 315775375020. Its totient is φ = 33487749120.

The previous prime is 103779804787. The next prime is 103779804823. The reversal of 103779804800 is 8408977301.

It can be written as a sum of positive squares in 6 ways, for example, as 16981217344 + 86798587456 = 130312^2 + 294616^2 .

It is a super-2 number, since 2×103779804800² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2646134 + ... + 2685066.

Almost surely, 2^103779804800 is an apocalyptic number.

103779804800 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 103779804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157887687510).

103779804800 is an abundant number, since it is smaller than the sum of its proper divisors (211995570220).

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

103779804800 is a wasteful number, since it uses less digits than its factorization.

103779804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38988 (or 38964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 103779804800 in words is "one hundred three billion, seven hundred seventy-nine million, eight hundred four thousand, eight hundred".