103521312 has 36 divisors (see below), whose sum is σ = 294389550. Its totient is φ = 34507008.

The previous prime is 103521293. The next prime is 103521317. The reversal of 103521312 is 213125301.

103521312 is a `hidden beast` number, since 1 + 0 + 352 + 1 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98485776 + 5035536 = 9924^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (103521317) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 179437 + ... + 180012.

Almost surely, 2^103521312 is an apocalyptic number.

103521312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103521312 is an abundant number, since it is smaller than the sum of its proper divisors (190868238).

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

103521312 is a wasteful number, since it uses less digits than its factorization.

103521312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359465 (or 359454 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 103521312 is about 10174.5423484302. The cubic root of 103521312 is about 469.5443176599.

Adding to 103521312 its reverse (213125301), we get a palindrome (316646613).

It can be divided in two parts, 10352 and 1312, that added together give a square (11664 = 108²).

The spelling of 103521312 in words is "one hundred three million, five hundred twenty-one thousand, three hundred twelve".