10105400349 has 80 divisors (see below), whose sum is σ = 17205851520. Its totient is φ = 5854343040.

The previous prime is 10105400341. The next prime is 10105400351. The reversal of 10105400349 is 94300450101.

It is not a de Polignac number, because 10105400349 - 2³ = 10105400341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105400341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2659519 + ... + 2663315.

It is an arithmetic number, because the mean of its divisors is an integer number (215073144).

Almost surely, 2^10105400349 is an apocalyptic number.

It is an amenable number.

10105400349 is a deficient number, since it is larger than the sum of its proper divisors (7100451171).

10105400349 is a wasteful number, since it uses less digits than its factorization.

10105400349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10105400349 in words is "ten billion, one hundred five million, four hundred thousand, three hundred forty-nine".