101861325 has 36 divisors (see below), whose sum is σ = 184193568. Its totient is φ = 53805600.

The previous prime is 101861303. The next prime is 101861329. The reversal of 101861325 is 523168101.

101861325 is a `hidden beast` number, since 10 + 18 + 613 + 25 = 666.

It is not a de Polignac number, because 101861325 - 2⁷ = 101861197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101861329) 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 35 ways as a sum of consecutive naturals, for example, 21960 + ... + 26190.

It is an arithmetic number, because the mean of its divisors is an integer number (5116488).

Almost surely, 2^101861325 is an apocalyptic number.

101861325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101861325 is a deficient number, since it is larger than the sum of its proper divisors (82332243).

101861325 is a wasteful number, since it uses less digits than its factorization.

101861325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4346 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101861325 is about 10092.6371677575. The cubic root of 101861325 is about 467.0210332788.

It can be divided in two parts, 10186 and 1325, that added together give a palindrome (11511).

The spelling of 101861325 in words is "one hundred one million, eight hundred sixty-one thousand, three hundred twenty-five".