105029568 has 224 divisors, whose sum is σ = 372262400. Its totient is φ = 28366848.

The previous prime is 105029567. The next prime is 105029599. The reversal of 105029568 is 865920501.

It is a happy number.

105029568 is a `hidden beast` number, since 1 + 0 + 502 + 95 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105029568² = 22062420308533248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105029567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229596 + ... + 230052.

Almost surely, 2^105029568 is an apocalyptic number.

105029568 is a gapful number since it is divisible by the number (18) 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 105029568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186131200).

105029568 is an abundant number, since it is smaller than the sum of its proper divisors (267232832).

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

105029568 is a wasteful number, since it uses less digits than its factorization.

105029568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 105029568 is about 10248.3934350707. The cubic root of 105029568 is about 471.8136772964.

The spelling of 105029568 in words is "one hundred five million, twenty-nine thousand, five hundred sixty-eight".