103375872 has 88 divisors (see below), whose sum is σ = 306231200. Its totient is φ = 34449408.

The previous prime is 103375871. The next prime is 103375873. The reversal of 103375872 is 278573301.

It is an interprime number because it is at equal distance from previous prime (103375871) and next prime (103375873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103375871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25779 + ... + 29517.

It is an arithmetic number, because the mean of its divisors is an integer number (3479900).

Almost surely, 2^103375872 is an apocalyptic number.

103375872 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 103375872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115600).

103375872 is an abundant number, since it is smaller than the sum of its proper divisors (202855328).

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

103375872 is an equidigital number, since it uses as much as digits as its factorization.

103375872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 103375872 is about 10167.3925861058. The cubic root of 103375872 is about 469.3243226002.

The spelling of 103375872 in words is "one hundred three million, three hundred seventy-five thousand, eight hundred seventy-two".