105542163450 has 144 divisors (see below), whose sum is σ = 285372940320. Its totient is φ = 27964920960.

The previous prime is 105542163449. The next prime is 105542163499. The reversal of 105542163450 is 54361245501.

105542163450 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 42 + 163 + 450 = 666.

It is a super-3 number, since 3×105542163450³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56529417 + ... + 56531283.

It is an arithmetic number, because the mean of its divisors is an integer number (1981756530).

Almost surely, 2^105542163450 is an apocalyptic number.

105542163450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105542163450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142686470160).

105542163450 is an abundant number, since it is smaller than the sum of its proper divisors (179830776870).

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

105542163450 is a wasteful number, since it uses less digits than its factorization.

105542163450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 105542163450 in words is "one hundred five billion, five hundred forty-two million, one hundred sixty-three thousand, four hundred fifty".