106536314250 has 192 divisors, whose sum is σ = 291611473920. Its totient is φ = 28063152000.

The previous prime is 106536314239. The next prime is 106536314257. The reversal of 106536314250 is 52413635601.

106536314250 is a `hidden beast` number, since 1 + 0 + 6 + 536 + 31 + 42 + 50 = 666.

It is a super-2 number, since 2×106536314250² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106536314257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67469961 + ... + 67471539.

It is an arithmetic number, because the mean of its divisors is an integer number (1518809760).

Almost surely, 2^106536314250 is an apocalyptic number.

106536314250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106536314250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145805736960).

106536314250 is an abundant number, since it is smaller than the sum of its proper divisors (185075159670).

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

106536314250 is a wasteful number, since it uses less digits than its factorization.

106536314250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 106536314250 its reverse (52413635601), we get a palindrome (158949949851).

The spelling of 106536314250 in words is "one hundred six billion, five hundred thirty-six million, three hundred fourteen thousand, two hundred fifty".