107125007 has 16 divisors (see below), whose sum is σ = 129123072. Its totient is φ = 87669120.

The previous prime is 107125003. The next prime is 107125009. The reversal of 107125007 is 700521701.

It is a happy number.

It is not a de Polignac number, because 107125007 - 2² = 107125003 is a prime.

It is a super-2 number, since 2×107125007² = 22951534249500098, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107125003) 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 15 ways as a sum of consecutive naturals, for example, 8153 + ... + 16754.

It is an arithmetic number, because the mean of its divisors is an integer number (8070192).

Almost surely, 2^107125007 is an apocalyptic number.

107125007 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

107125007 is a deficient number, since it is larger than the sum of its proper divisors (21998065).

107125007 is a wasteful number, since it uses less digits than its factorization.

107125007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24958.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 107125007 is about 10350.1211104025. The cubic root of 107125007 is about 474.9307481681.

Adding to 107125007 its reverse (700521701), we get a palindrome (807646708).

The spelling of 107125007 in words is "one hundred seven million, one hundred twenty-five thousand, seven".