103759872 has 60 divisors (see below), whose sum is σ = 276815616. Its totient is φ = 34570240.

The previous prime is 103759871. The next prime is 103759907. The reversal of 103759872 is 278957301.

It is a super-2 number, since 2×103759872² = 21532222074912768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103759871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48097 + ... + 50207.

Almost surely, 2^103759872 is an apocalyptic number.

103759872 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 103759872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138407808).

103759872 is an abundant number, since it is smaller than the sum of its proper divisors (173055744).

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

103759872 is an frugal number, since it uses more digits than its factorization.

103759872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 103759872 is about 10186.2589796254. The cubic root of 103759872 is about 469.9047218968.

The spelling of 103759872 in words is "one hundred three million, seven hundred fifty-nine thousand, eight hundred seventy-two".