103978001600 has 336 divisors, whose sum is σ = 295256102400. Its totient is φ = 35642880000.

The previous prime is 103978001597. The next prime is 103978001653. The reversal of 103978001600 is 6100879301.

It is a super-2 number, since 2×103978001600² (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 47 ways as a sum of consecutive naturals, for example, 79920950 + ... + 79922250.

It is an arithmetic number, because the mean of its divisors is an integer number (878738400).

Almost surely, 2^103978001600 is an apocalyptic number.

103978001600 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 103978001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147628051200).

103978001600 is an abundant number, since it is smaller than the sum of its proper divisors (191278100800).

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

103978001600 is a wasteful number, since it uses less digits than its factorization.

103978001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The spelling of 103978001600 in words is "one hundred three billion, nine hundred seventy-eight million, one thousand, six hundred".