10103150400 has 336 divisors, whose sum is σ = 38097561600. Its totient is φ = 2296166400.

The previous prime is 10103150389. The next prime is 10103150461. The reversal of 10103150400 is 405130101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10103150400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6685645 + ... + 6687155.

It is an arithmetic number, because the mean of its divisors is an integer number (113385600).

Almost surely, 2^10103150400 is an apocalyptic number.

10103150400 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 10103150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19048780800).

10103150400 is an abundant number, since it is smaller than the sum of its proper divisors (27994411200).

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

10103150400 is a wasteful number, since it uses less digits than its factorization.

10103150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10103150400 its reverse (405130101), we get a palindrome (10508280501).

The spelling of 10103150400 in words is "ten billion, one hundred three million, one hundred fifty thousand, four hundred".