103972512 has 216 divisors, whose sum is σ = 342322848. Its totient is φ = 27498240.

The previous prime is 103972499. The next prime is 103972537. The reversal of 103972512 is 215279301.

It is a self number, because there is not a number n which added to its sum of digits gives 103972512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3353937 + ... + 3353967.

It is an arithmetic number, because the mean of its divisors is an integer number (1584828).

Almost surely, 2^103972512 is an apocalyptic number.

103972512 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 103972512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171161424).

103972512 is an abundant number, since it is smaller than the sum of its proper divisors (238350336).

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

103972512 is a wasteful number, since it uses less digits than its factorization.

103972512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 103972512 is about 10196.6912280406. The cubic root of 103972512 is about 470.2255021704.

The spelling of 103972512 in words is "one hundred three million, nine hundred seventy-two thousand, five hundred twelve".