101012405 has 32 divisors (see below), whose sum is σ = 135762144. Its totient is φ = 71663616.

The previous prime is 101012399. The next prime is 101012407. The reversal of 101012405 is 504210101.

It can be written as a sum of positive squares in 16 ways, for example, as 39828721 + 61183684 = 6311^2 + 7822^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012405 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012407) 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 31 ways as a sum of consecutive naturals, for example, 233069 + ... + 233501.

It is an arithmetic number, because the mean of its divisors is an integer number (4242567).

Almost surely, 2^101012405 is an apocalyptic number.

It is an amenable number.

101012405 is a deficient number, since it is larger than the sum of its proper divisors (34749739).

101012405 is a wasteful number, since it uses less digits than its factorization.

101012405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 101012405 is about 10050.4927739887. The cubic root of 101012405 is about 465.7200160734.

Adding to 101012405 its reverse (504210101), we get a palindrome (605222506).

The spelling of 101012405 in words is "one hundred one million, twelve thousand, four hundred five".