10100400 has 120 divisors (see below), whose sum is σ = 34134720. Its totient is φ = 2545920.

The previous prime is 10100393. The next prime is 10100407. The reversal of 10100400 is 400101.

It is an interprime number because it is at equal distance from previous prime (10100393) and next prime (10100407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10100407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22579 + ... + 23021.

It is an arithmetic number, because the mean of its divisors is an integer number (284456).

Almost surely, 2^10100400 is an apocalyptic number.

10100400 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 10100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17067360).

10100400 is an abundant number, since it is smaller than the sum of its proper divisors (24034320).

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

10100400 is a wasteful number, since it uses less digits than its factorization.

10100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10100400 is about 3178.1126474686. The cubic root of 10100400 is about 216.1620868441.

Adding to 10100400 its reverse (400101), we get a palindrome (10500501).

The spelling of 10100400 in words is "ten million, one hundred thousand, four hundred".