106401001 has 16 divisors (see below), whose sum is σ = 124848000. Its totient is φ = 90639024.

The previous prime is 106400999. The next prime is 106401017. The reversal of 106401001 is 100104601.

It is not a de Polignac number, because 106401001 - 2¹ = 106400999 is a prime.

It is a super-2 number, since 2×106401001² = 22642346027604002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106401901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60531 + ... + 62263.

It is an arithmetic number, because the mean of its divisors is an integer number (7803000).

Almost surely, 2^106401001 is an apocalyptic number.

It is an amenable number.

106401001 is a deficient number, since it is larger than the sum of its proper divisors (18446999).

106401001 is an equidigital number, since it uses as much as digits as its factorization.

106401001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 106401001 is about 10315.0860878618. The cubic root of 106401001 is about 473.8583864253.

Adding to 106401001 its reverse (100104601), we get a palindrome (206505602).

The spelling of 106401001 in words is "one hundred six million, four hundred one thousand, one".