10124100 has 108 divisors (see below), whose sum is σ = 36289344. Its totient is φ = 2312640.

The previous prime is 10124099. The next prime is 10124119. The reversal of 10124100 is 142101.

It is a happy number.

10124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5497 + ... + 7103.

Almost surely, 2^10124100 is an apocalyptic number.

10124100 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 10124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144672).

10124100 is an abundant number, since it is smaller than the sum of its proper divisors (26165244).

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

10124100 is a wasteful number, since it uses less digits than its factorization.

10124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 10124100 is about 3181.8390908404. The cubic root of 10124100 is about 216.3310253581.

Adding to 10124100 its reverse (142101), we get a palindrome (10266201).

The spelling of 10124100 in words is "ten million, one hundred twenty-four thousand, one hundred".