10107400 has 48 divisors (see below), whose sum is σ = 23787540. Its totient is φ = 3993600.

The previous prime is 10107343. The next prime is 10107403. The reversal of 10107400 is 470101.

It can be written as a sum of positive squares in 6 ways, for example, as 2390116 + 7717284 = 1546^2 + 2778^2 .

It is not an unprimeable number, because it can be changed into a prime (10107403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19140 + ... + 19660.

Almost surely, 2^10107400 is an apocalyptic number.

10107400 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 10107400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893770).

10107400 is an abundant number, since it is smaller than the sum of its proper divisors (13680140).

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

10107400 is a wasteful number, since it uses less digits than its factorization.

10107400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10107400 is about 3179.2137392758. The cubic root of 10107400 is about 216.2120117707.

Adding to 10107400 its reverse (470101), we get a palindrome (10577501).

The spelling of 10107400 in words is "ten million, one hundred seven thousand, four hundred".