103583972 has 24 divisors (see below), whose sum is σ = 192793440. Its totient is φ = 48556800.

The previous prime is 103583951. The next prime is 103583993. The reversal of 103583972 is 279385301.

It is an interprime number because it is at equal distance from previous prime (103583951) and next prime (103583993).

It is a super-3 number, since 3×103583972³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 347 + ... + 14397.

It is an arithmetic number, because the mean of its divisors is an integer number (8033060).

Almost surely, 2^103583972 is an apocalyptic number.

It is an amenable number.

103583972 is a deficient number, since it is larger than the sum of its proper divisors (89209468).

103583972 is a wasteful number, since it uses less digits than its factorization.

103583972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171 (or 14169 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 103583972 is about 10177.6211365918. The cubic root of 103583972 is about 469.6390347515.

The spelling of 103583972 in words is "one hundred three million, five hundred eighty-three thousand, nine hundred seventy-two".