107107011 has 48 divisors (see below), whose sum is σ = 174376800. Its totient is φ = 62799360.

The previous prime is 107107001. The next prime is 107107051. The reversal of 107107011 is 110701701.

It is not a de Polignac number, because 107107011 - 2¹⁰ = 107105987 is a prime.

It is a super-2 number, since 2×107107011² = 22943823610708242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107107001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718765 + ... + 718913.

It is an arithmetic number, because the mean of its divisors is an integer number (3632850).

Almost surely, 2^107107011 is an apocalyptic number.

107107011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107107011 is a deficient number, since it is larger than the sum of its proper divisors (67269789).

107107011 is a wasteful number, since it uses less digits than its factorization.

107107011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 49, while the sum is 18.

The square root of 107107011 is about 10349.2517120804. The cubic root of 107107011 is about 474.9041520364.

Adding to 107107011 its reverse (110701701), we get a palindrome (217808712).

The spelling of 107107011 in words is "one hundred seven million, one hundred seven thousand, eleven".