105061046559000 has 768 divisors, whose sum is σ = 383926967424000. Its totient is φ = 23849325158400.

The previous prime is 105061046558977. The next prime is 105061046559011. The reversal of 105061046559000 is 955640160501.

It is a super-2 number, since 2×105061046559000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25444668936 + ... + 25444673064.

It is an arithmetic number, because the mean of its divisors is an integer number (499904905500).

Almost surely, 2^{105061046559000} is an apocalyptic number.

105061046559000 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 105061046559000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191963483712000).

105061046559000 is an abundant number, since it is smaller than the sum of its proper divisors (278865920865000).

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

105061046559000 is a wasteful number, since it uses less digits than its factorization.

105061046559000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The spelling of 105061046559000 in words is "one hundred five trillion, sixty-one billion, forty-six million, five hundred fifty-nine thousand".