107745192 has 48 divisors (see below), whose sum is σ = 294508500. Its totient is φ = 35582976.

The previous prime is 107745191. The next prime is 107745203. The reversal of 107745192 is 291547701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 107619876 + 125316 = 10374^2 + 354^2 .

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

It is not an unprimeable number, because it can be changed into a prime (107745191) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 984 + ... + 14712.

Almost surely, 2^107745192 is an apocalyptic number.

107745192 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 107745192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147254250).

107745192 is an abundant number, since it is smaller than the sum of its proper divisors (186763308).

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

107745192 is a wasteful number, since it uses less digits than its factorization.

107745192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13843 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 107745192 is about 10380.0381502189. The cubic root of 107745192 is about 475.8454998424.

The spelling of 107745192 in words is "one hundred seven million, seven hundred forty-five thousand, one hundred ninety-two".