103402272 has 96 divisors (see below), whose sum is σ = 285671232. Its totient is φ = 32707584.

The previous prime is 103402249. The next prime is 103402301. The reversal of 103402272 is 272204301.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 152398 + ... + 153074.

It is an arithmetic number, because the mean of its divisors is an integer number (2975742).

Almost surely, 2^103402272 is an apocalyptic number.

103402272 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 103402272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142835616).

103402272 is an abundant number, since it is smaller than the sum of its proper divisors (182268960).

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

103402272 is a wasteful number, since it uses less digits than its factorization.

103402272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 103402272 is about 10168.6907711858. The cubic root of 103402272 is about 469.3642710179.

Adding to 103402272 its reverse (272204301), we get a palindrome (375606573).

The spelling of 103402272 in words is "one hundred three million, four hundred two thousand, two hundred seventy-two".