103995136 has 72 divisors (see below), whose sum is σ = 239589504. Its totient is φ = 44129280.

The previous prime is 103995127. The next prime is 103995187. The reversal of 103995136 is 631599301.

It is a junction number, because it is equal to n+sod(n) for n = 103995095 and 103995104.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 234531 + ... + 234973.

It is an arithmetic number, because the mean of its divisors is an integer number (3327632).

Almost surely, 2^103995136 is an apocalyptic number.

103995136 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 103995136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119794752).

103995136 is an abundant number, since it is smaller than the sum of its proper divisors (135594368).

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

103995136 is an equidigital number, since it uses as much as digits as its factorization.

103995136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 37.

The square root of 103995136 is about 10197.8005471768. The cubic root of 103995136 is about 470.2596060889.

The spelling of 103995136 in words is "one hundred three million, nine hundred ninety-five thousand, one hundred thirty-six".