101972105 has 8 divisors (see below), whose sum is σ = 122433864. Its totient is φ = 81532800.

The previous prime is 101972099. The next prime is 101972131. The reversal of 101972105 is 501279101.

It can be written as a sum of positive squares in 4 ways, for example, as 19598329 + 82373776 = 4427^2 + 9076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101972105 - 2¹⁸ = 101709961 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6935 + ... + 15875.

It is an arithmetic number, because the mean of its divisors is an integer number (15304233).

Almost surely, 2^101972105 is an apocalyptic number.

It is an amenable number.

101972105 is a deficient number, since it is larger than the sum of its proper divisors (20461759).

101972105 is an equidigital number, since it uses as much as digits as its factorization.

101972105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11227.

The product of its (nonzero) digits is 630, while the sum is 26.

The square root of 101972105 is about 10098.1238356439. The cubic root of 101972105 is about 467.1902759424.

The spelling of 101972105 in words is "one hundred one million, nine hundred seventy-two thousand, one hundred five".