101540257 has 16 divisors (see below), whose sum is σ = 127636992. Its totient is φ = 78626880.

The previous prime is 101540251. The next prime is 101540287. The reversal of 101540257 is 752045101.

It is a cyclic number.

It is not a de Polignac number, because 101540257 - 2⁷ = 101540129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101540251) 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 15 ways as a sum of consecutive naturals, for example, 7594 + ... + 16147.

It is an arithmetic number, because the mean of its divisors is an integer number (7977312).

Almost surely, 2^101540257 is an apocalyptic number.

It is an amenable number.

101540257 is a deficient number, since it is larger than the sum of its proper divisors (26096735).

101540257 is a wasteful number, since it uses less digits than its factorization.

101540257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23808.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 101540257 is about 10076.7185631038. The cubic root of 101540257 is about 466.5298317069.

Adding to 101540257 its reverse (752045101), we get a palindrome (853585358).

The spelling of 101540257 in words is "one hundred one million, five hundred forty thousand, two hundred fifty-seven".