107801472 has 64 divisors (see below), whose sum is σ = 288668160. Its totient is φ = 35642880.

The previous prime is 107801453. The next prime is 107801489. The reversal of 107801472 is 274108701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×107801472³ (a number of 25 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 49233 + ... + 51375.

It is an arithmetic number, because the mean of its divisors is an integer number (4510440).

Almost surely, 2^107801472 is an apocalyptic number.

107801472 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 107801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144334080).

107801472 is an abundant number, since it is smaller than the sum of its proper divisors (180866688).

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

107801472 is a wasteful number, since it uses less digits than its factorization.

107801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 107801472 is about 10382.7487689918. The cubic root of 107801472 is about 475.9283370212.

The spelling of 107801472 in words is "one hundred seven million, eight hundred one thousand, four hundred seventy-two".