105011655600 has 120 divisors (see below), whose sum is σ = 336993408720. Its totient is φ = 27952655360.

The previous prime is 105011655589. The next prime is 105011655601. The reversal of 105011655600 is 6556110501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105011655600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105011655601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589846 + ... + 746954.

It is an arithmetic number, because the mean of its divisors is an integer number (2808278406).

Almost surely, 2^105011655600 is an apocalyptic number.

105011655600 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 105011655600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168496704360).

105011655600 is an abundant number, since it is smaller than the sum of its proper divisors (231981753120).

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

105011655600 is a wasteful number, since it uses less digits than its factorization.

105011655600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157687 (or 157676 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105011655600 in words is "one hundred five billion, eleven million, six hundred fifty-five thousand, six hundred".