103876645400 has 96 divisors (see below), whose sum is σ = 264369798000. Its totient is φ = 37644172800.

The previous prime is 103876645363. The next prime is 103876645421. The reversal of 103876645400 is 4546678301.

It is a Cunningham number, because it is equal to 322299²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 564026 + ... + 725174.

Almost surely, 2^103876645400 is an apocalyptic number.

103876645400 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 103876645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132184899000).

103876645400 is an abundant number, since it is smaller than the sum of its proper divisors (160493152600).

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

103876645400 is a wasteful number, since it uses less digits than its factorization.

103876645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161469 (or 161460 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 103876645400 in words is "one hundred three billion, eight hundred seventy-six million, six hundred forty-five thousand, four hundred".