107572104101 has 32 divisors (see below), whose sum is σ = 135948008448. Its totient is φ = 82680560640.

The previous prime is 107572104097. The next prime is 107572104121. The reversal of 107572104101 is 101401275701.

It is a cyclic number.

It is not a de Polignac number, because 107572104101 - 2² = 107572104097 is a prime.

It is a super-3 number, since 3×107572104101³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107572104121) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4096325 + ... + 4122501.

It is an arithmetic number, because the mean of its divisors is an integer number (4248375264).

Almost surely, 2^107572104101 is an apocalyptic number.

107572104101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107572104101 is a deficient number, since it is larger than the sum of its proper divisors (28375904347).

107572104101 is a wasteful number, since it uses less digits than its factorization.

107572104101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26921.

The product of its (nonzero) digits is 1960, while the sum is 29.

Adding to 107572104101 its reverse (101401275701), we get a palindrome (208973379802).

The spelling of 107572104101 in words is "one hundred seven billion, five hundred seventy-two million, one hundred four thousand, one hundred one".