101310400 has 84 divisors (see below), whose sum is σ = 260219952. Its totient is φ = 38748160.

The previous prime is 101310379. The next prime is 101310409. The reversal of 101310400 is 4013101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35424 + ... + 38176.

Almost surely, 2^101310400 is an apocalyptic number.

101310400 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 101310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130109976).

101310400 is an abundant number, since it is smaller than the sum of its proper divisors (158909552).

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

101310400 is a wasteful number, since it uses less digits than its factorization.

101310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101310400 is about 10065.3067514110. The cubic root of 101310400 is about 466.1775373926.

Adding to 101310400 its reverse (4013101), we get a palindrome (105323501).

The spelling of 101310400 in words is "one hundred one million, three hundred ten thousand, four hundred".