103587422400 has 2016 divisors, whose sum is σ = 502676160000. Its totient is φ = 20254924800.

The previous prime is 103587422359. The next prime is 103587422401. The reversal of 103587422400 is 4224785301.

It is a happy number.

103587422400 is a `hidden beast` number, since 10 + 3 + 587 + 4 + 22 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×103587422400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103587422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 695217526 + ... + 695217674.

Almost surely, 2^103587422400 is an apocalyptic number.

103587422400 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 103587422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251338080000).

103587422400 is an abundant number, since it is smaller than the sum of its proper divisors (399088737600).

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

103587422400 is a wasteful number, since it uses less digits than its factorization.

103587422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 103587422400 in words is "one hundred three billion, five hundred eighty-seven million, four hundred twenty-two thousand, four hundred".