107745120 has 288 divisors, whose sum is σ = 439538400. Its totient is φ = 24579072.

The previous prime is 107745101. The next prime is 107745139. The reversal of 107745120 is 21547701.

It is an interprime number because it is at equal distance from previous prime (107745101) and next prime (107745139).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 211426 + ... + 211934.

It is an arithmetic number, because the mean of its divisors is an integer number (1526175).

Almost surely, 2^107745120 is an apocalyptic number.

107745120 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 107745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219769200).

107745120 is an abundant number, since it is smaller than the sum of its proper divisors (331793280).

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

107745120 is a wasteful number, since it uses less digits than its factorization.

107745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 107745120 is about 10380.0346820230. The cubic root of 107745120 is about 475.8453938489.

The spelling of 107745120 in words is "one hundred seven million, seven hundred forty-five thousand, one hundred twenty".