101106051059 has 8 divisors (see below), whose sum is σ = 111415613232. Its totient is φ = 91158228000.

The previous prime is 101106051043. The next prime is 101106051077. The reversal of 101106051059 is 950150601101.

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 101106051059 - 2⁴ = 101106051043 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101106051029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90434192 + ... + 90435309.

It is an arithmetic number, because the mean of its divisors is an integer number (13926951654).

Almost surely, 2^101106051059 is an apocalyptic number.

101106051059 is a deficient number, since it is larger than the sum of its proper divisors (10309562173).

101106051059 is a wasteful number, since it uses less digits than its factorization.

101106051059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180869557.

The product of its (nonzero) digits is 1350, while the sum is 29.

The spelling of 101106051059 in words is "one hundred one billion, one hundred six million, fifty-one thousand, fifty-nine".