103098072 has 128 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 26186880.

The previous prime is 103098071. The next prime is 103098077. The reversal of 103098072 is 270890301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103098071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86263 + ... + 87449.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2^103098072 is an apocalyptic number.

103098072 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 103098072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

103098072 is an abundant number, since it is smaller than the sum of its proper divisors (225360168).

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

103098072 is a wasteful number, since it uses less digits than its factorization.

103098072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 103098072 is about 10153.7220761650. The cubic root of 103098072 is about 468.9035433711.

It can be divided in two parts, 10309 and 8072, that added together give a palindrome (18381).

The spelling of 103098072 in words is "one hundred three million, ninety-eight thousand, seventy-two".