101945457 has 12 divisors (see below), whose sum is σ = 149669364. Its totient is φ = 66849120.

The previous prime is 101945443. The next prime is 101945479. The reversal of 101945457 is 754549101.

101945457 is a `hidden beast` number, since 10 + 194 + 5 + 457 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 55487601 = 6816^2 + 7449^2 .

It is not a de Polignac number, because 101945457 - 2¹¹ = 101943409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101945357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92298 + ... + 93395.

It is an arithmetic number, because the mean of its divisors is an integer number (12472447).

Almost surely, 2^101945457 is an apocalyptic number.

It is an amenable number.

101945457 is a deficient number, since it is larger than the sum of its proper divisors (47723907).

101945457 is a wasteful number, since it uses less digits than its factorization.

101945457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185760 (or 185757 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 101945457 is about 10096.8042964098. The cubic root of 101945457 is about 467.1495760173.

It can be divided in two parts, 10194 and 5457, that added together give a palindrome (15651).

The spelling of 101945457 in words is "one hundred one million, nine hundred forty-five thousand, four hundred fifty-seven".