103102720 has 144 divisors (see below), whose sum is σ = 290803968. Its totient is φ = 34283520.

The previous prime is 103102717. The next prime is 103102771. The reversal of 103102720 is 27201301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103102694 and 103102703.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331365 + ... + 331675.

It is an arithmetic number, because the mean of its divisors is an integer number (2019472).

Almost surely, 2^103102720 is an apocalyptic number.

103102720 is a gapful number since it is divisible by the number (10) 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 103102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145401984).

103102720 is an abundant number, since it is smaller than the sum of its proper divisors (187701248).

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

103102720 is an equidigital number, since it uses as much as digits as its factorization.

103102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 103102720 is about 10153.9509551701. The cubic root of 103102720 is about 468.9105898362.

The spelling of 103102720 in words is "one hundred three million, one hundred two thousand, seven hundred twenty".