103173038400 has 168 divisors, whose sum is σ = 338827038880. Its totient is φ = 27485706240.

The previous prime is 103173038393. The next prime is 103173038407. The reversal of 103173038400 is 4830371301.

It is an interprime number because it is at equal distance from previous prime (103173038393) and next prime (103173038407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103173038407) 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 23 ways as a sum of consecutive naturals, for example, 5121147 + ... + 5141253.

Almost surely, 2^103173038400 is an apocalyptic number.

103173038400 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 103173038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169413519440).

103173038400 is an abundant number, since it is smaller than the sum of its proper divisors (235654000480).

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

103173038400 is a wasteful number, since it uses less digits than its factorization.

103173038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21201 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 103173038400 in words is "one hundred three billion, one hundred seventy-three million, thirty-eight thousand, four hundred".