107477720 has 64 divisors (see below), whose sum is σ = 282286080. Its totient is φ = 36061056.

The previous prime is 107477707. The next prime is 107477759. The reversal of 107477720 is 27774701.

It is a super-4 number, since 4×107477720⁴ (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9077 + ... + 17243.

It is an arithmetic number, because the mean of its divisors is an integer number (4410720).

Almost surely, 2^107477720 is an apocalyptic number.

107477720 is a gapful number since it is divisible by the number (10) 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 107477720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141143040).

107477720 is an abundant number, since it is smaller than the sum of its proper divisors (174808360).

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

107477720 is a wasteful number, since it uses less digits than its factorization.

107477720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8232 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 35.

The square root of 107477720 is about 10367.1461839795. The cubic root of 107477720 is about 475.4514194234.

The spelling of 107477720 in words is "one hundred seven million, four hundred seventy-seven thousand, seven hundred twenty".