101352105 has 24 divisors (see below), whose sum is σ = 178089288. Its totient is φ = 53312256.

The previous prime is 101352091. The next prime is 101352109. The reversal of 101352105 is 501253101.

It can be written as a sum of positive squares in 4 ways, for example, as 1671849 + 99680256 = 1293^2 + 9984^2 .

It is not a de Polignac number, because 101352105 - 2¹⁹ = 100827817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101352109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12142 + ... + 18711.

It is an arithmetic number, because the mean of its divisors is an integer number (7420387).

Almost surely, 2^101352105 is an apocalyptic number.

101352105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101352105 is a deficient number, since it is larger than the sum of its proper divisors (76737183).

101352105 is a wasteful number, since it uses less digits than its factorization.

101352105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30937 (or 30934 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101352105 is about 10067.3782585140. The cubic root of 101352105 is about 466.2414968249.

The spelling of 101352105 in words is "one hundred one million, three hundred fifty-two thousand, one hundred five".