105154056 has 192 divisors, whose sum is σ = 349440000. Its totient is φ = 27900288.

The previous prime is 105154051. The next prime is 105154081. The reversal of 105154056 is 650451501.

It is a happy number.

It is a super-2 number, since 2×105154056² = 22114750986502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105154051) 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, 756435 + ... + 756573.

It is an arithmetic number, because the mean of its divisors is an integer number (1820000).

Almost surely, 2^105154056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105154056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720000).

105154056 is an abundant number, since it is smaller than the sum of its proper divisors (244285944).

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

105154056 is a wasteful number, since it uses less digits than its factorization.

105154056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105154056 is about 10254.4651737670. The cubic root of 105154056 is about 472.0000119697. Note that the first 4 decimals are identical.

The spelling of 105154056 in words is "one hundred five million, one hundred fifty-four thousand, fifty-six".