105506401535154 has 48 divisors (see below), whose sum is σ = 238965885866400. Its totient is φ = 34505238188304.

The previous prime is 105506401535147. The next prime is 105506401535167. The reversal of 105506401535154 is 451535104605501.

105506401535154 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 64 + 0 + 1 + 535 + 1 + 54 = 666.

It is a super-2 number, since 2×105506401535154² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 347627284 + ... + 347930655.

It is an arithmetic number, because the mean of its divisors is an integer number (4978455955550).

Almost surely, 2^{105506401535154} is an apocalyptic number.

105506401535154 is an abundant number, since it is smaller than the sum of its proper divisors (133459484331246).

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

105506401535154 is an equidigital number, since it uses as much as digits as its factorization.

105506401535154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695558056 (or 695557997 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 105506401535154 in words is "one hundred five trillion, five hundred six billion, four hundred one million, five hundred thirty-five thousand, one hundred fifty-four".