105546542376 has 128 divisors (see below), whose sum is σ = 302226163200. Its totient is φ = 30419854080.

The previous prime is 105546542359. The next prime is 105546542419. The reversal of 105546542376 is 673245645501.

It is a super-2 number, since 2×105546542376² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 410071 + ... + 615833.

It is an arithmetic number, because the mean of its divisors is an integer number (2361141900).

Almost surely, 2^105546542376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105546542376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151113081600).

105546542376 is an abundant number, since it is smaller than the sum of its proper divisors (196679620824).

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

105546542376 is a wasteful number, since it uses less digits than its factorization.

105546542376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205879 (or 205875 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 48.

The spelling of 105546542376 in words is "one hundred five billion, five hundred forty-six million, five hundred forty-two thousand, three hundred seventy-six".