106210136032 has 192 divisors, whose sum is σ = 283653909504. Its totient is φ = 37802557440.

The previous prime is 106210136027. The next prime is 106210136033. The reversal of 106210136032 is 230631012601.

106210136032 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 2×106210136032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106210135988 and 106210136006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106210136033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3090013 + ... + 3124195.

It is an arithmetic number, because the mean of its divisors is an integer number (1477364112).

Almost surely, 2^106210136032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106210136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141826954752).

106210136032 is an abundant number, since it is smaller than the sum of its proper divisors (177443773472).

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

106210136032 is a wasteful number, since it uses less digits than its factorization.

106210136032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34321 (or 34313 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 106210136032 its reverse (230631012601), we get a palindrome (336841148633).

It can be divided in two parts, 106210 and 136032, that added together give a palindrome (242242).

The spelling of 106210136032 in words is "one hundred six billion, two hundred ten million, one hundred thirty-six thousand, thirty-two".