101407105 has 8 divisors (see below), whose sum is σ = 122870592. Its totient is φ = 80337648.

The previous prime is 101407093. The next prime is 101407109. The reversal of 101407105 is 501704101.

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

It is a cyclic number.

It is not a de Polignac number, because 101407105 - 2⁹ = 101406593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101407109) 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 7 ways as a sum of consecutive naturals, for example, 97939 + ... + 98968.

It is an arithmetic number, because the mean of its divisors is an integer number (15358824).

Almost surely, 2^101407105 is an apocalyptic number.

It is an amenable number.

101407105 is a deficient number, since it is larger than the sum of its proper divisors (21463487).

101407105 is a wasteful number, since it uses less digits than its factorization.

101407105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197015.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 101407105 is about 10070.1094830195. The cubic root of 101407105 is about 466.3258188532.

The spelling of 101407105 in words is "one hundred one million, four hundred seven thousand, one hundred five".