105051897432 has 128 divisors (see below), whose sum is σ = 293466240000. Its totient is φ = 34819118208.

The previous prime is 105051897397. The next prime is 105051897439. The reversal of 105051897432 is 234798150501.

105051897432 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 518 + 97 + 43 + 2 = 666.

It is a super-2 number, since 2×105051897432² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105051897439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52603858 + ... + 52605854.

It is an arithmetic number, because the mean of its divisors is an integer number (2292705000).

Almost surely, 2^105051897432 is an apocalyptic number.

105051897432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105051897432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146733120000).

105051897432 is an abundant number, since it is smaller than the sum of its proper divisors (188414342568).

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

105051897432 is a wasteful number, since it uses less digits than its factorization.

105051897432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 105051897432 in words is "one hundred five billion, fifty-one million, eight hundred ninety-seven thousand, four hundred thirty-two".