103747445136 has 100 divisors (see below), whose sum is σ = 300805068300. Its totient is φ = 34521458688.

The previous prime is 103747445117. The next prime is 103747445141. The reversal of 103747445136 is 631544747301.

103747445136 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 474 + 45 + 136 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70892257536 + 32855187600 = 266256^2 + 181260^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103747445091 and 103747445100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 667080 + ... + 807768.

It is an arithmetic number, because the mean of its divisors is an integer number (3008050683).

Almost surely, 2^103747445136 is an apocalyptic number.

103747445136 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 103747445136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150402534150).

103747445136 is an abundant number, since it is smaller than the sum of its proper divisors (197057623164).

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

103747445136 is a wasteful number, since it uses less digits than its factorization.

103747445136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141278 (or 141263 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 103747445136 in words is "one hundred three billion, seven hundred forty-seven million, four hundred forty-five thousand, one hundred thirty-six".