105400254100 has 72 divisors (see below), whose sum is σ = 235070767008. Its totient is φ = 40997846400.

The previous prime is 105400254083. The next prime is 105400254103. The reversal of 105400254100 is 1452004501.

It is a super-2 number, since 2×105400254100² (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 (105400254103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922110 + ... + 1030090.

It is an arithmetic number, because the mean of its divisors is an integer number (3264871764).

Almost surely, 2^105400254100 is an apocalyptic number.

105400254100 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 105400254100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117535383504).

105400254100 is an abundant number, since it is smaller than the sum of its proper divisors (129670512908).

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

105400254100 is a wasteful number, since it uses less digits than its factorization.

105400254100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108265 (or 108258 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105400254100 its reverse (1452004501), we get a palindrome (106852258601).

The spelling of 105400254100 in words is "one hundred five billion, four hundred million, two hundred fifty-four thousand, one hundred".