105345146245644 has 96 divisors (see below), whose sum is σ = 281658067084800. Its totient is φ = 34033682813760.

The previous prime is 105345146245543. The next prime is 105345146245649. The reversal of 105345146245644 is 446542641543501.

105345146245644 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 4 + 5 + 1 + 4 + 624 + 5 + 6 + 4 + 4 = 666.

It is a super-2 number, since 2×105345146245644² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105345146245649) 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, 115973707 + ... + 116878530.

It is an arithmetic number, because the mean of its divisors is an integer number (2933938198800).

Almost surely, 2^{105345146245644} is an apocalyptic number.

It is an amenable number.

105345146245644 is an abundant number, since it is smaller than the sum of its proper divisors (176312920839156).

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

105345146245644 is a wasteful number, since it uses less digits than its factorization.

105345146245644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232852380 (or 232852372 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 105345146245644 in words is "one hundred five trillion, three hundred forty-five billion, one hundred forty-six million, two hundred forty-five thousand, six hundred forty-four".