105400634336 has 24 divisors (see below), whose sum is σ = 211922555040. Its totient is φ = 51579033088.

The previous prime is 105400634323. The next prime is 105400634347. The reversal of 105400634336 is 633436004501.

It is a super-2 number, since 2×105400634336² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105400634296 and 105400634305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35038601 + ... + 35041608.

It is an arithmetic number, because the mean of its divisors is an integer number (8830106460).

Almost surely, 2^105400634336 is an apocalyptic number.

105400634336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105400634336 is an abundant number, since it is smaller than the sum of its proper divisors (106521920704).

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

105400634336 is an equidigital number, since it uses as much as digits as its factorization.

105400634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70080266 (or 70080258 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

Adding to 105400634336 its reverse (633436004501), we get a palindrome (738836638837).

The spelling of 105400634336 in words is "one hundred five billion, four hundred million, six hundred thirty-four thousand, three hundred thirty-six".