103320072 has 24 divisors (see below), whose sum is σ = 279825390. Its totient is φ = 34440000.

The previous prime is 103320037. The next prime is 103320073. The reversal of 103320072 is 270023301.

It can be written as a sum of positive squares in only one way, i.e., 76632516 + 26687556 = 8754^2 + 5166^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×103320072³ (a number of 25 digits) contains 333 as substring.

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 (103320073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 717429 + ... + 717572.

Almost surely, 2^103320072 is an apocalyptic number.

103320072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103320072 is an abundant number, since it is smaller than the sum of its proper divisors (176505318).

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

103320072 is a wasteful number, since it uses less digits than its factorization.

103320072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435013 (or 1435006 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 103320072 is about 10164.6481493458. The cubic root of 103320072 is about 469.2398637864.

Adding to 103320072 its reverse (270023301), we get a palindrome (373343373).

The spelling of 103320072 in words is "one hundred three million, three hundred twenty thousand, seventy-two".