105055104 has 384 divisors, whose sum is σ = 390700800. Its totient is φ = 24330240.

The previous prime is 105055051. The next prime is 105055109. The reversal of 105055104 is 401550501.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105055104² = 22073149752901632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5529207 + ... + 5529225.

It is an arithmetic number, because the mean of its divisors is an integer number (1017450).

Almost surely, 2^105055104 is an apocalyptic number.

105055104 is a gapful number since it is divisible by the number (14) 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 105055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

105055104 is an abundant number, since it is smaller than the sum of its proper divisors (285645696).

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

105055104 is a wasteful number, since it uses less digits than its factorization.

105055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 105055104 is about 10249.6392131626. The cubic root of 105055104 is about 471.8519117923.

The spelling of 105055104 in words is "one hundred five million, fifty-five thousand, one hundred four".