105533632512 has 1040 divisors, whose sum is σ = 417884113152. Its totient is φ = 25798901760.

The previous prime is 105533632507. The next prime is 105533632571. The reversal of 105533632512 is 215236335501.

105533632512 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 3 + 3 + 632 + 5 + 12 = 666.

It is a super-2 number, since 2×105533632512² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6207860728 + ... + 6207860744.

Almost surely, 2^105533632512 is an apocalyptic number.

105533632512 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 105533632512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208942056576).

105533632512 is an abundant number, since it is smaller than the sum of its proper divisors (312350480640).

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

105533632512 is an frugal number, since it uses more digits than its factorization.

105533632512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 105533632512 in words is "one hundred five billion, five hundred thirty-three million, six hundred thirty-two thousand, five hundred twelve".