105854158080 has 432 divisors, whose sum is σ = 405047837376. Its totient is φ = 25307873280.

The previous prime is 105854158057. The next prime is 105854158117. The reversal of 105854158080 is 80851458501.

105854158080 is a `hidden beast` number, since 1 + 0 + 5 + 85 + 415 + 80 + 80 = 666.

It is a super-2 number, since 2×105854158080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9244839 + ... + 9256281.

Almost surely, 2^105854158080 is an apocalyptic number.

105854158080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105854158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202523918688).

105854158080 is an abundant number, since it is smaller than the sum of its proper divisors (299193679296).

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

105854158080 is a wasteful number, since it uses less digits than its factorization.

105854158080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554 (or 11537 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 105854158080 in words is "one hundred five billion, eight hundred fifty-four million, one hundred fifty-eight thousand, eighty".