105367006332 has 576 divisors, whose sum is σ = 346335575040. Its totient is φ = 27518496768.

The previous prime is 105367006321. The next prime is 105367006333. The reversal of 105367006332 is 233600763501.

105367006332 is a `hidden beast` number, since 10 + 5 + 3 + 6 + 7 + 0 + 0 + 633 + 2 = 666.

It is a super-2 number, since 2×105367006332² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105367006333) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 769102168 + ... + 769102304.

It is an arithmetic number, because the mean of its divisors is an integer number (601277040).

Almost surely, 2^105367006332 is an apocalyptic number.

105367006332 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 105367006332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173167787520).

105367006332 is an abundant number, since it is smaller than the sum of its proper divisors (240968568708).

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

105367006332 is a wasteful number, since it uses less digits than its factorization.

105367006332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

Adding to 105367006332 its reverse (233600763501), we get a palindrome (338967769833).

The spelling of 105367006332 in words is "one hundred five billion, three hundred sixty-seven million, six thousand, three hundred thirty-two".