105473860460046 has 128 divisors (see below), whose sum is σ = 263651770368000. Its totient is φ = 31011703607808.

The previous prime is 105473860460041. The next prime is 105473860460051. The reversal of 105473860460046 is 640064068374501.

105473860460046 is a `hidden beast` number, since 1 + 0 + 54 + 7 + 38 + 60 + 460 + 0 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (105473860460041) and next prime (105473860460051).

It is a super-2 number, since 2×105473860460046² (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 a junction number, because it is equal to n+sod(n) for n = 105473860459974 and 105473860460001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105473860460041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13054195 + ... + 19528433.

It is an arithmetic number, because the mean of its divisors is an integer number (2059779456000).

Almost surely, 2^{105473860460046} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105473860460046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131825885184000).

105473860460046 is an abundant number, since it is smaller than the sum of its proper divisors (158177909907954).

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

105473860460046 is a wasteful number, since it uses less digits than its factorization.

105473860460046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6475295 (or 6475289 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 105473860460046 in words is "one hundred five trillion, four hundred seventy-three billion, eight hundred sixty million, four hundred sixty thousand, forty-six".