105492421632 has 176 divisors, whose sum is σ = 304574931360. Its totient is φ = 32269467648.

The previous prime is 105492421631. The next prime is 105492421651. The reversal of 105492421632 is 236124294501.

105492421632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105492421632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105492421631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6901294 + ... + 6916562.

Almost surely, 2^105492421632 is an apocalyptic number.

105492421632 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 105492421632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152287465680).

105492421632 is an abundant number, since it is smaller than the sum of its proper divisors (199082509728).

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

105492421632 is a wasteful number, since it uses less digits than its factorization.

105492421632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15478 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 105492421632 in words is "one hundred five billion, four hundred ninety-two million, four hundred twenty-one thousand, six hundred thirty-two".