103036032 has 192 divisors, whose sum is σ = 332242560. Its totient is φ = 30382080.

The previous prime is 103036013. The next prime is 103036057. The reversal of 103036032 is 230630301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103035996 and 103036014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595498 + ... + 595670.

It is an arithmetic number, because the mean of its divisors is an integer number (1730430).

Almost surely, 2^103036032 is an apocalyptic number.

103036032 is a gapful number since it is divisible by the number (12) 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 103036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166121280).

103036032 is an abundant number, since it is smaller than the sum of its proper divisors (229206528).

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

103036032 is a wasteful number, since it uses less digits than its factorization.

103036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 103036032 is about 10150.6665790972. Note that the first 3 decimals coincide. The cubic root of 103036032 is about 468.8094691483.

Adding to 103036032 its reverse (230630301), we get a palindrome (333666333).

The spelling of 103036032 in words is "one hundred three million, thirty-six thousand, thirty-two".