105400363541 has 8 divisors (see below), whose sum is σ = 114990437568. Its totient is φ = 95811660000.

The previous prime is 105400363513. The next prime is 105400363547. The reversal of 105400363541 is 145363004501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105400363541 - 2¹⁸ = 105400101397 is a prime.

It is a super-2 number, since 2×105400363541² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105400363498 and 105400363507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105400363547) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 178385 + ... + 492566.

It is an arithmetic number, because the mean of its divisors is an integer number (14373804696).

Almost surely, 2^105400363541 is an apocalyptic number.

105400363541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105400363541 is a deficient number, since it is larger than the sum of its proper divisors (9590074027).

105400363541 is a wasteful number, since it uses less digits than its factorization.

105400363541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685243.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 105400363541 in words is "one hundred five billion, four hundred million, three hundred sixty-three thousand, five hundred forty-one".