10406142105 has 16 divisors (see below), whose sum is σ = 16836906240. Its totient is φ = 5487582848.

The previous prime is 10406142101. The next prime is 10406142121. The reversal of 10406142105 is 50124160401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10406142105 - 2² = 10406142101 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10406142101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3896097 + ... + 3898766.

It is an arithmetic number, because the mean of its divisors is an integer number (1052306640).

Almost surely, 2^10406142105 is an apocalyptic number.

10406142105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10406142105 is a deficient number, since it is larger than the sum of its proper divisors (6430764135).

10406142105 is an equidigital number, since it uses as much as digits as its factorization.

10406142105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7794960.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 10406142105 in words is "ten billion, four hundred six million, one hundred forty-two thousand, one hundred five".