101457 has 6 divisors (see below), whose sum is σ = 146562. Its totient is φ = 67632.

The previous prime is 101449. The next prime is 101467. The reversal of 101457 is 754101.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 25281 = 276^2 + 159^2 .

It is not a de Polignac number, because 101457 - 2³ = 101449 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 101457.

It is not an unprimeable number, because it can be changed into a prime (101467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5628 + ... + 5645.

It is an arithmetic number, because the mean of its divisors is an integer number (24427).

2¹⁰¹⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

101457 is a deficient number, since it is larger than the sum of its proper divisors (45105).

101457 is a wasteful number, since it uses less digits than its factorization.

101457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11276 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101457 is about 318.5231545744. The cubic root of 101457 is about 46.6402287893.

Adding to 101457 its sum of digits (18), we get a triangular number (101475 = T₄₅₀).

Adding to 101457 its reverse (754101), we get a palindrome (855558).

The spelling of 101457 in words is "one hundred one thousand, four hundred fifty-seven".