101052405 has 48 divisors (see below), whose sum is σ = 182767104. Its totient is φ = 51592320.

The previous prime is 101052361. The next prime is 101052407. The reversal of 101052405 is 504250101.

It is not a de Polignac number, because 101052405 - 2¹⁶ = 100986869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101052407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148927 + ... + 149603.

It is an arithmetic number, because the mean of its divisors is an integer number (3807648).

Almost surely, 2^101052405 is an apocalyptic number.

101052405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101052405 is a deficient number, since it is larger than the sum of its proper divisors (81714699).

101052405 is a wasteful number, since it uses less digits than its factorization.

101052405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101052405 is about 10052.4825292064. The cubic root of 101052405 is about 465.7814816008.

The spelling of 101052405 in words is "one hundred one million, fifty-two thousand, four hundred five".