105403036032 has 144 divisors (see below), whose sum is σ = 352828113300. Its totient is φ = 30115137024.

The previous prime is 105403036019. The next prime is 105403036069. The reversal of 105403036032 is 230630304501.

It is a happy number.

105403036032 is a `hidden beast` number, since 1 + 0 + 54 + 0 + 3 + 0 + 3 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×105403036032³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105403035987 and 105403036005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 877182 + ... + 990077.

Almost surely, 2^105403036032 is an apocalyptic number.

105403036032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105403036032 is an abundant number, since it is smaller than the sum of its proper divisors (247425077268).

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

105403036032 is a wasteful number, since it uses less digits than its factorization.

105403036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867293 (or 1867271 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 105403036032 in words is "one hundred five billion, four hundred three million, thirty-six thousand, thirty-two".