103120752 has 160 divisors (see below), whose sum is σ = 332121600. Its totient is φ = 26901504.

The previous prime is 103120747. The next prime is 103120763. The reversal of 103120752 is 257021301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184858 + ... + 185414.

It is an arithmetic number, because the mean of its divisors is an integer number (2075760).

Almost surely, 2^103120752 is an apocalyptic number.

103120752 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 103120752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166060800).

103120752 is an abundant number, since it is smaller than the sum of its proper divisors (229000848).

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

103120752 is a wasteful number, since it uses less digits than its factorization.

103120752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 103120752 is about 10154.8388465795. The cubic root of 103120752 is about 468.9379247209.

The spelling of 103120752 in words is "one hundred three million, one hundred twenty thousand, seven hundred fifty-two".