103768272 has 240 divisors, whose sum is σ = 341228160. Its totient is φ = 29196288.

The previous prime is 103768267. The next prime is 103768297. The reversal of 103768272 is 272867301.

103768272 is a `hidden beast` number, since 10 + 376 + 8 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069728 + ... + 1069824.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^103768272 is an apocalyptic number.

103768272 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 103768272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

103768272 is an abundant number, since it is smaller than the sum of its proper divisors (237459888).

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

103768272 is a wasteful number, since it uses less digits than its factorization.

103768272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 103768272 is about 10186.6712914475. The cubic root of 103768272 is about 469.9174021140.

The spelling of 103768272 in words is "one hundred three million, seven hundred sixty-eight thousand, two hundred seventy-two".