107701272 has 256 divisors, whose sum is σ = 377856000. Its totient is φ = 27713664.

The previous prime is 107701267. The next prime is 107701277. The reversal of 107701272 is 272107701.

It is an interprime number because it is at equal distance from previous prime (107701267) and next prime (107701277).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107701277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660663 + ... + 660825.

It is an arithmetic number, because the mean of its divisors is an integer number (1476000).

Almost surely, 2^107701272 is an apocalyptic number.

107701272 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 107701272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188928000).

107701272 is an abundant number, since it is smaller than the sum of its proper divisors (270154728).

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

107701272 is a wasteful number, since it uses less digits than its factorization.

107701272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 107701272 is about 10377.9223354196. The cubic root of 107701272 is about 475.7808350090.

Adding to 107701272 its reverse (272107701), we get a palindrome (379808973).

The spelling of 107701272 in words is "one hundred seven million, seven hundred one thousand, two hundred seventy-two".