103416837120 has 528 divisors, whose sum is σ = 383608422288. Its totient is φ = 25669140480.

The previous prime is 103416837107. The next prime is 103416837127. The reversal of 103416837120 is 21738614301.

It is a happy number.

103416837120 is a `hidden beast` number, since 103 + 4 + 168 + 371 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1711973376 + 101704863744 = 41376^2 + 318912^2 .

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 (103416837127) 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 47 ways as a sum of consecutive naturals, for example, 75985240 + ... + 75986600.

Almost surely, 2^103416837120 is an apocalyptic number.

103416837120 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 103416837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191804211144).

103416837120 is an abundant number, since it is smaller than the sum of its proper divisors (280191585168).

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

103416837120 is a wasteful number, since it uses less digits than its factorization.

103416837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 103416837120 in words is "one hundred three billion, four hundred sixteen million, eight hundred thirty-seven thousand, one hundred twenty".