106031540232 has 96 divisors (see below), whose sum is σ = 297275097600. Its totient is φ = 34101664128.

The previous prime is 106031540213. The next prime is 106031540233. The reversal of 106031540232 is 232045130601.

106031540232 is a `hidden beast` number, since 1 + 0 + 60 + 31 + 540 + 2 + 32 = 666.

It is a super-2 number, since 2×106031540232² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106031540196 and 106031540205.

It is not an unprimeable number, because it can be changed into a prime (106031540233) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3163353 + ... + 3196695.

It is an arithmetic number, because the mean of its divisors is an integer number (3096615600).

Almost surely, 2^106031540232 is an apocalyptic number.

106031540232 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 106031540232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148637548800).

106031540232 is an abundant number, since it is smaller than the sum of its proper divisors (191243557368).

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

106031540232 is a wasteful number, since it uses less digits than its factorization.

106031540232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34907 (or 34900 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 106031540232 its reverse (232045130601), we get a palindrome (338076670833).

The spelling of 106031540232 in words is "one hundred six billion, thirty-one million, five hundred forty thousand, two hundred thirty-two".