101005125 has 32 divisors (see below), whose sum is σ = 181009920. Its totient is φ = 49723200.

The previous prime is 101005039. The next prime is 101005133. The reversal of 101005125 is 521500101.

It is not a de Polignac number, because 101005125 - 2⁷ = 101004997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5485 + ... + 15234.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2^101005125 is an apocalyptic number.

101005125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101005125 is a deficient number, since it is larger than the sum of its proper divisors (80004795).

101005125 is a wasteful number, since it uses less digits than its factorization.

101005125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20750 (or 20740 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 101005125 is about 10050.1305961664. The cubic root of 101005125 is about 465.7088276022.

Adding to 101005125 its reverse (521500101), we get a palindrome (622505226).

It can be divided in two parts, 10100 and 5125, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 101005125 in words is "one hundred one million, five thousand, one hundred twenty-five".