107191257 has 16 divisors (see below), whose sum is σ = 147430272. Its totient is φ = 69223680.

The previous prime is 107191237. The next prime is 107191267. The reversal of 107191257 is 752191701.

It is not a de Polignac number, because 107191257 - 2⁶ = 107191193 is a prime.

It is a super-3 number, since 3×107191257³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (107191207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24748 + ... + 28754.

It is an arithmetic number, because the mean of its divisors is an integer number (9214392).

Almost surely, 2^107191257 is an apocalyptic number.

It is an amenable number.

107191257 is a deficient number, since it is larger than the sum of its proper divisors (40239015).

107191257 is a wasteful number, since it uses less digits than its factorization.

107191257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4288.

The product of its (nonzero) digits is 4410, while the sum is 33.

The square root of 107191257 is about 10353.3210613793. The cubic root of 107191257 is about 475.0286328077.

The spelling of 107191257 in words is "one hundred seven million, one hundred ninety-one thousand, two hundred fifty-seven".