101057103 has 12 divisors (see below), whose sum is σ = 166824528. Its totient is φ = 57746880.

The previous prime is 101057093. The next prime is 101057107. The reversal of 101057103 is 301750101.

It is a happy number.

It is not a de Polignac number, because 101057103 - 2⁵ = 101057071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101057107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 801978 + ... + 802103.

It is an arithmetic number, because the mean of its divisors is an integer number (13902044).

Almost surely, 2^101057103 is an apocalyptic number.

101057103 is a deficient number, since it is larger than the sum of its proper divisors (65767425).

101057103 is a wasteful number, since it uses less digits than its factorization.

101057103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604094 (or 1604091 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 101057103 is about 10052.7162001123. The cubic root of 101057103 is about 465.7886996626.

The spelling of 101057103 in words is "one hundred one million, fifty-seven thousand, one hundred three".