103044581136 has 320 divisors, whose sum is σ = 341952399360. Its totient is φ = 29101662720.

The previous prime is 103044581113. The next prime is 103044581137. The reversal of 103044581136 is 631185440301.

103044581136 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 44 + 581 + 1 + 36 = 666.

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 103044581136.

It is not an unprimeable number, because it can be changed into a prime (103044581137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184998970 + ... + 184999526.

It is an arithmetic number, because the mean of its divisors is an integer number (1068601248).

Almost surely, 2^103044581136 is an apocalyptic number.

103044581136 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 103044581136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170976199680).

103044581136 is an abundant number, since it is smaller than the sum of its proper divisors (238907818224).

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

103044581136 is a wasteful number, since it uses less digits than its factorization.

103044581136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 103044581136 in words is "one hundred three billion, forty-four million, five hundred eighty-one thousand, one hundred thirty-six".