101005157 has 4 divisors (see below), whose sum is σ = 110187456. Its totient is φ = 91822860.

The previous prime is 101005147. The next prime is 101005183. The reversal of 101005157 is 751500101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 751500101 = 11 ⋅68318191.

It is a cyclic number.

It is not a de Polignac number, because 101005157 - 2⁴ = 101005141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101005147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4591133 + ... + 4591154.

It is an arithmetic number, because the mean of its divisors is an integer number (27546864).

Almost surely, 2^101005157 is an apocalyptic number.

It is an amenable number.

101005157 is a deficient number, since it is larger than the sum of its proper divisors (9182299).

101005157 is an equidigital number, since it uses as much as digits as its factorization.

101005157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182298.

The product of its (nonzero) digits is 175, while the sum is 20.

The square root of 101005157 is about 10050.1321881854. The cubic root of 101005157 is about 465.7088767835.

Adding to 101005157 its reverse (751500101), we get a palindrome (852505258).

The spelling of 101005157 in words is "one hundred one million, five thousand, one hundred fifty-seven".