105400232400 has 240 divisors, whose sum is σ = 357144748416. Its totient is φ = 26515906560.

The previous prime is 105400232341. The next prime is 105400232401. The reversal of 105400232400 is 4232004501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×105400232400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400232401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1988644 + ... + 2040956.

Almost surely, 2^105400232400 is an apocalyptic number.

105400232400 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 105400232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178572374208).

105400232400 is an abundant number, since it is smaller than the sum of its proper divisors (251744516016).

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

105400232400 is a wasteful number, since it uses less digits than its factorization.

105400232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52430 (or 52419 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 105400232400 its reverse (4232004501), we get a palindrome (109632236901).

The spelling of 105400232400 in words is "one hundred five billion, four hundred million, two hundred thirty-two thousand, four hundred".