103575136 has 48 divisors (see below), whose sum is σ = 239361696. Its totient is φ = 43186176.

The previous prime is 103575127. The next prime is 103575161. The reversal of 103575136 is 631575301.

It is a super-3 number, since 3×103575136³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103575098 and 103575107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2040 + ... + 14536.

It is an arithmetic number, because the mean of its divisors is an integer number (4986702).

Almost surely, 2^103575136 is an apocalyptic number.

103575136 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 103575136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119680848).

103575136 is an abundant number, since it is smaller than the sum of its proper divisors (135786560).

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

103575136 is a wasteful number, since it uses less digits than its factorization.

103575136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 31.

The square root of 103575136 is about 10177.1870376838. The cubic root of 103575136 is about 469.6256805345.

The spelling of 103575136 in words is "one hundred three million, five hundred seventy-five thousand, one hundred thirty-six".