106736810436 has 81 divisors (see below), whose sum is σ = 286701031981. Its totient is φ = 33475603584.

The previous prime is 106736810431. The next prime is 106736810483. The reversal of 106736810436 is 634018637601.

The square root of 106736810436 is 326706.

It is a perfect power (a square), and thus also a powerful number.

106736810436 is a `hidden beast` number, since 106 + 7 + 36 + 81 + 0 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83099592900 + 23637217536 = 288270^2 + 153744^2 .

It is a super-2 number, since 2×106736810436² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106736810391 and 106736810400.

It is not an unprimeable number, because it can be changed into a prime (106736810431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 33322411 + ... + 33325613.

Almost surely, 2^106736810436 is an apocalyptic number.

106736810436 is the 326706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106736810436

106736810436 is an abundant number, since it is smaller than the sum of its proper divisors (179964221545).

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

106736810436 is an equidigital number, since it uses as much as digits as its factorization.

106736810436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 106736810436 in words is "one hundred six billion, seven hundred thirty-six million, eight hundred ten thousand, four hundred thirty-six".