10103100400 has 60 divisors (see below), whose sum is σ = 24307149600. Its totient is φ = 4035504640.

The previous prime is 10103100349. The next prime is 10103100433. The reversal of 10103100400 is 400130101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270036 + ... + 305164.

It is an arithmetic number, because the mean of its divisors is an integer number (405119160).

Almost surely, 2^10103100400 is an apocalyptic number.

10103100400 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 10103100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12153574800).

10103100400 is an abundant number, since it is smaller than the sum of its proper divisors (14204049200).

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

10103100400 is a wasteful number, since it uses less digits than its factorization.

10103100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35866 (or 35855 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10103100400 its reverse (400130101), we get a palindrome (10503230501).

The spelling of 10103100400 in words is "ten billion, one hundred three million, one hundred thousand, four hundred".