101986125 has 48 divisors (see below), whose sum is σ = 175975488. Its totient is φ = 52452000.

The previous prime is 101986123. The next prime is 101986133. The reversal of 101986125 is 521689101.

It is not a de Polignac number, because 101986125 - 2¹ = 101986123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101986123) 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 47 ways as a sum of consecutive naturals, for example, 360234 + ... + 360516.

It is an arithmetic number, because the mean of its divisors is an integer number (3666156).

Almost surely, 2^101986125 is an apocalyptic number.

101986125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101986125 is a deficient number, since it is larger than the sum of its proper divisors (73989363).

101986125 is an equidigital number, since it uses as much as digits as its factorization.

101986125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 33.

The square root of 101986125 is about 10098.8180001424. The cubic root of 101986125 is about 467.2116860705.

The spelling of 101986125 in words is "one hundred one million, nine hundred eighty-six thousand, one hundred twenty-five".