105946693632 has 720 divisors, whose sum is σ = 360678165120. Its totient is φ = 30831280128.

The previous prime is 105946693603. The next prime is 105946693651. The reversal of 105946693632 is 236396649501.

105946693632 is a `hidden beast` number, since 10 + 59 + 466 + 93 + 6 + 32 = 666.

It is a super-2 number, since 2×105946693632² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1190412244 + ... + 1190412332.

It is an arithmetic number, because the mean of its divisors is an integer number (500941896).

Almost surely, 2^105946693632 is an apocalyptic number.

105946693632 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 105946693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180339082560).

105946693632 is an abundant number, since it is smaller than the sum of its proper divisors (254731471488).

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

105946693632 is an frugal number, since it uses more digits than its factorization.

105946693632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 105946693632 in words is "one hundred five billion, nine hundred forty-six million, six hundred ninety-three thousand, six hundred thirty-two".