100210400 has 72 divisors (see below), whose sum is σ = 246156120. Its totient is φ = 39836160.

The previous prime is 100210381. The next prime is 100210403. The reversal of 100210400 is 4012001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210403) 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, 182927 + ... + 183473.

It is an arithmetic number, because the mean of its divisors is an integer number (3418835).

Almost surely, 2^100210400 is an apocalyptic number.

100210400 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 100210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123078060).

100210400 is an abundant number, since it is smaller than the sum of its proper divisors (145945720).

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

100210400 is a wasteful number, since it uses less digits than its factorization.

100210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 783 counting only the distinct ones).

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

The square root of 100210400 is about 10010.5144722936. The cubic root of 100210400 is about 464.4841854195.

Adding to 100210400 its reverse (4012001), we get a palindrome (104222401).

The spelling of 100210400 in words is "one hundred million, two hundred ten thousand, four hundred".