1072107 has 12 divisors (see below), whose sum is σ = 1561560. Its totient is φ = 708768.

The previous prime is 1072103. The next prime is 1072129. The reversal of 1072107 is 7012701.

It is not a de Polignac number, because 1072107 - 2² = 1072103 is a prime.

It is a super-2 number, since 2×1072107² = 2298826838898, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

1072107 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 1072107.

It is not an unprimeable number, because it can be changed into a prime (1072103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 823 + ... + 1679.

It is an arithmetic number, because the mean of its divisors is an integer number (130130).

2^1072107 is an apocalyptic number.

1072107 is a deficient number, since it is larger than the sum of its proper divisors (489453).

1072107 is a wasteful number, since it uses less digits than its factorization.

1072107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 1072107 is about 1035.4259992872. The cubic root of 1072107 is about 102.3480039469.

Adding to 1072107 its reverse (7012701), we get a palindrome (8084808).

The spelling of 1072107 in words is "one million, seventy-two thousand, one hundred seven".