105356064 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 29399040.

The previous prime is 105356047. The next prime is 105356081. The reversal of 105356064 is 460653501.

It is an interprime number because it is at equal distance from previous prime (105356047) and next prime (105356081).

It is a super-2 number, since 2×105356064² = 22199800443144192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1183732 + ... + 1183820.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2^105356064 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 105356064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

105356064 is an abundant number, since it is smaller than the sum of its proper divisors (221235936).

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

105356064 is a wasteful number, since it uses less digits than its factorization.

105356064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 105356064 is about 10264.3102057566. The cubic root of 105356064 is about 472.3020665318.

The spelling of 105356064 in words is "one hundred five million, three hundred fifty-six thousand, sixty-four".