1405106536104 has 48 divisors (see below), whose sum is σ = 3805873737120. Its totient is φ = 468322461600.

The previous prime is 1405106536103. The next prime is 1405106536199. The reversal of 1405106536104 is 4016356015041.

1405106536104 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 10 + 6 + 536 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1405106536103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230382 + ... + 1692125.

It is an arithmetic number, because the mean of its divisors is an integer number (79289036190).

Almost surely, 2^{1405106536104} is an apocalyptic number.

It is an amenable number.

1405106536104 is an abundant number, since it is smaller than the sum of its proper divisors (2400767201016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1405106536104 is a wasteful number, since it uses less digits than its factorization.

1405106536104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932670 (or 1932663 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1405106536104 in words is "one trillion, four hundred five billion, one hundred six million, five hundred thirty-six thousand, one hundred four".