107142777 has 32 divisors (see below), whose sum is σ = 182476800. Its totient is φ = 60863184.

The previous prime is 107142773. The next prime is 107142793. The reversal of 107142777 is 777241701.

It is not a de Polignac number, because 107142777 - 2² = 107142773 is a prime.

It is a super-2 number, since 2×107142777² = 22959149326543458, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107142773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32248 + ... + 35414.

It is an arithmetic number, because the mean of its divisors is an integer number (5702400).

Almost surely, 2^107142777 is an apocalyptic number.

It is an amenable number.

107142777 is a deficient number, since it is larger than the sum of its proper divisors (75334023).

107142777 is a wasteful number, since it uses less digits than its factorization.

107142777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The square root of 107142777 is about 10350.9795188668. The cubic root of 107142777 is about 474.9570073738.

It can be divided in two parts, 107 and 142777, that added together give a square (142884 = 378²).

The spelling of 107142777 in words is "one hundred seven million, one hundred forty-two thousand, seven hundred seventy-seven".