101240400 has 120 divisors (see below), whose sum is σ = 326586240. Its totient is φ = 26808320.

The previous prime is 101240393. The next prime is 101240413. The reversal of 101240400 is 4042101.

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 (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286624 + ... + 286976.

It is an arithmetic number, because the mean of its divisors is an integer number (2721552).

Almost surely, 2^101240400 is an apocalyptic number.

101240400 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 101240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163293120).

101240400 is an abundant number, since it is smaller than the sum of its proper divisors (225345840).

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

101240400 is a wasteful number, since it uses less digits than its factorization.

101240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101240400 is about 10061.8288596060. The cubic root of 101240400 is about 466.0701448438.

Adding to 101240400 its reverse (4042101), we get a palindrome (105282501).

The spelling of 101240400 in words is "one hundred one million, two hundred forty thousand, four hundred".