105003431160 has 64 divisors (see below), whose sum is σ = 315475840800. Its totient is φ = 27959533056.

The previous prime is 105003431153. The next prime is 105003431189. The reversal of 105003431160 is 61134300501.

It is a super-2 number, since 2×105003431160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105003431160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565015 + ... + 727494.

Almost surely, 2^105003431160 is an apocalyptic number.

105003431160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105003431160 is an abundant number, since it is smaller than the sum of its proper divisors (210472409640).

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

105003431160 is a wasteful number, since it uses less digits than its factorization.

105003431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293200 (or 1293196 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105003431160 its reverse (61134300501), we get a palindrome (166137731661).

The spelling of 105003431160 in words is "one hundred five billion, three million, four hundred thirty-one thousand, one hundred sixty".