105218970 has 16 divisors (see below), whose sum is σ = 252525600. Its totient is φ = 28058384.

The previous prime is 105218959. The next prime is 105218983. The reversal of 105218970 is 79812501.

It is a super-2 number, since 2×105218970² = 22142063295721800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1753620 + ... + 1753679.

It is an arithmetic number, because the mean of its divisors is an integer number (15782850).

Almost surely, 2^105218970 is an apocalyptic number.

105218970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105218970 is an abundant number, since it is smaller than the sum of its proper divisors (147306630).

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

105218970 is a wasteful number, since it uses less digits than its factorization.

105218970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507309.

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 105218970 is about 10257.6298431948. The cubic root of 105218970 is about 472.0971174526.

It can be divided in two parts, 10521 and 8970, that added together give a palindrome (19491).

The spelling of 105218970 in words is "one hundred five million, two hundred eighteen thousand, nine hundred seventy".