10106400 has 72 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 2694400.

The previous prime is 10106399. The next prime is 10106401. The reversal of 10106400 is 460101.

It is an interprime number because it is at equal distance from previous prime (10106399) and next prime (10106401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10106401) 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, 295 + ... + 4505.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 2^10106400 is an apocalyptic number.

10106400 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 10106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

10106400 is an abundant number, since it is smaller than the sum of its proper divisors (22797744).

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

10106400 is a wasteful number, since it uses less digits than its factorization.

10106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4234 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10106400 is about 3179.0564637955. The cubic root of 10106400 is about 216.2048810499.

Adding to 10106400 its reverse (460101), we get a palindrome (10566501).

The spelling of 10106400 in words is "ten million, one hundred six thousand, four hundred".