101305149 has 32 divisors (see below), whose sum is σ = 156608640. Its totient is φ = 57657600.

The previous prime is 101305123. The next prime is 101305153. The reversal of 101305149 is 941503101.

It is not a de Polignac number, because 101305149 - 2⁷ = 101305021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101305189) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33979 + ... + 36839.

It is an arithmetic number, because the mean of its divisors is an integer number (4894020).

Almost surely, 2^101305149 is an apocalyptic number.

It is an amenable number.

101305149 is a deficient number, since it is larger than the sum of its proper divisors (55303491).

101305149 is a wasteful number, since it uses less digits than its factorization.

101305149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 101305149 is about 10065.0459015347. The cubic root of 101305149 is about 466.1694831338.

The spelling of 101305149 in words is "one hundred one million, three hundred five thousand, one hundred forty-nine".