10405402353105 has 32 divisors (see below), whose sum is σ = 17357252178816. Its totient is φ = 5318215279104.

The previous prime is 10405402353091. The next prime is 10405402353107. The reversal of 10405402353105 is 50135320450401.

It is not a de Polignac number, because 10405402353105 - 2¹⁸ = 10405402090961 is a prime.

It is a super-2 number, since 2×10405402353105² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10405402353107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152158332 + ... + 152226701.

It is an arithmetic number, because the mean of its divisors is an integer number (542414130588).

Almost surely, 2^{10405402353105} is an apocalyptic number.

10405402353105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10405402353105 is a deficient number, since it is larger than the sum of its proper divisors (6951849825711).

10405402353105 is a wasteful number, since it uses less digits than its factorization.

10405402353105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304385137.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 10405402353105 in words is "ten trillion, four hundred five billion, four hundred two million, three hundred fifty-three thousand, one hundred five".