103112772 has 144 divisors (see below), whose sum is σ = 307829760. Its totient is φ = 26193024.

The previous prime is 103112741. The next prime is 103112773. The reversal of 103112772 is 277211301.

It is not an unprimeable number, because it can be changed into a prime (103112773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1945498 + ... + 1945550.

Almost surely, 2^103112772 is an apocalyptic number.

103112772 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 103112772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153914880).

103112772 is an abundant number, since it is smaller than the sum of its proper divisors (204716988).

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

103112772 is a wasteful number, since it uses less digits than its factorization.

103112772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 103112772 is about 10154.4459228458. The cubic root of 103112772 is about 468.9258281542.

The spelling of 103112772 in words is "one hundred three million, one hundred twelve thousand, seven hundred seventy-two".