109763136 has 126 divisors (see below), whose sum is σ = 366076230. Its totient is φ = 31352832.

The previous prime is 109763117. The next prime is 109763141. The reversal of 109763136 is 631367901.

109763136 is a `hidden beast` number, since 10 + 9 + 7 + 631 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 8156736 = 10080^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 109763136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26280 + ... + 30168.

Almost surely, 2^109763136 is an apocalyptic number.

109763136 is a gapful number since it is divisible by the number (16) 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 109763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183038115).

109763136 is an abundant number, since it is smaller than the sum of its proper divisors (256313094).

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

109763136 is a wasteful number, since it uses less digits than its factorization.

109763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 109763136 is about 10476.7903481935. The cubic root of 109763136 is about 478.7978249619.

The spelling of 109763136 in words is "one hundred nine million, seven hundred sixty-three thousand, one hundred thirty-six".