105400251324 has 48 divisors (see below), whose sum is σ = 273299056800. Its totient is φ = 35128384128.

The previous prime is 105400251263. The next prime is 105400251337. The reversal of 105400251324 is 423152004501.

105400251324 is a `hidden beast` number, since 1 + 0 + 5 + 400 + 251 + 3 + 2 + 4 = 666.

It is a super-2 number, since 2×105400251324² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729634 + ... + 862070.

It is an arithmetic number, because the mean of its divisors is an integer number (5693730350).

Almost surely, 2^105400251324 is an apocalyptic number.

It is an amenable number.

105400251324 is an abundant number, since it is smaller than the sum of its proper divisors (167898805476).

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

105400251324 is a wasteful number, since it uses less digits than its factorization.

105400251324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139819 (or 139811 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105400251324 its reverse (423152004501), we get a palindrome (528552255825).

The spelling of 105400251324 in words is "one hundred five billion, four hundred million, two hundred fifty-one thousand, three hundred twenty-four".