105100400 has 60 divisors (see below), whose sum is σ = 265812600. Its totient is φ = 39824640.

The previous prime is 105100361. The next prime is 105100423. The reversal of 105100400 is 4001501.

It is a super-2 number, since 2×105100400² = 22092188160320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686 + ... + 14514.

It is an arithmetic number, because the mean of its divisors is an integer number (4430210).

Almost surely, 2^105100400 is an apocalyptic number.

105100400 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 105100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132906300).

105100400 is an abundant number, since it is smaller than the sum of its proper divisors (160712200).

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

105100400 is a wasteful number, since it uses less digits than its factorization.

105100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13866 (or 13855 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105100400 is about 10251.8486137867. The cubic root of 105100400 is about 471.9197172657.

Adding to 105100400 its reverse (4001501), we get a palindrome (109101901).

The spelling of 105100400 in words is "one hundred five million, one hundred thousand, four hundred".