101004007 has 8 divisors (see below), whose sum is σ = 108909360. Its totient is φ = 93118080.

The previous prime is 101003999. The next prime is 101004011. The reversal of 101004007 is 700400101.

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 101004007 - 2³ = 101003999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7044 + ... + 15862.

It is an arithmetic number, because the mean of its divisors is an integer number (13613670).

Almost surely, 2^101004007 is an apocalyptic number.

101004007 is a deficient number, since it is larger than the sum of its proper divisors (7905353).

101004007 is an equidigital number, since it uses as much as digits as its factorization.

101004007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 101004007 is about 10050.0749748447. The cubic root of 101004007 is about 465.7071093250.

Adding to 101004007 its reverse (700400101), we get a palindrome (801404108).

The spelling of 101004007 in words is "one hundred one million, four thousand, seven".