101355105 has 32 divisors (see below), whose sum is σ = 172689408. Its totient is φ = 50585600.

The previous prime is 101355103. The next prime is 101355169. The reversal of 101355105 is 501553101.

It is not a de Polignac number, because 101355105 - 2¹ = 101355103 is a prime.

It is a super-2 number, since 2×101355105² = 20545714619122050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101355103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47665 + ... + 49745.

It is an arithmetic number, because the mean of its divisors is an integer number (5396544).

Almost surely, 2^101355105 is an apocalyptic number.

101355105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101355105 is a deficient number, since it is larger than the sum of its proper divisors (71334303).

101355105 is a wasteful number, since it uses less digits than its factorization.

101355105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297.

The product of its (nonzero) digits is 375, while the sum is 21.

The square root of 101355105 is about 10067.5272535017. The cubic root of 101355105 is about 466.2460969948.

The spelling of 101355105 in words is "one hundred one million, three hundred fifty-five thousand, one hundred five".