400107 has 8 divisors (see below), whose sum is σ = 536976. Its totient is φ = 264992.

The previous prime is 400093. The next prime is 400109. The reversal of 400107 is 701004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 400107 - 2⁷ = 399979 is a prime.

It is a super-2 number, since 2×400107² = 320171222898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400092 and 400101.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400107.

It is not an unprimeable number, because it can be changed into a prime (400109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253 + ... + 929.

It is an arithmetic number, because the mean of its divisors is an integer number (67122).

2⁴⁰⁰¹⁰⁷ is an apocalyptic number.

400107 is a deficient number, since it is larger than the sum of its proper divisors (136869).

400107 is a wasteful number, since it uses less digits than its factorization.

400107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 400107 is about 632.5401173048. The cubic root of 400107 is about 73.6871992433.

The spelling of 400107 in words is "four hundred thousand, one hundred seven", and thus it is an iban number.