105672070 has 32 divisors (see below), whose sum is σ = 222444288. Its totient is φ = 35386848.

The previous prime is 105672011. The next prime is 105672071. The reversal of 105672070 is 70276501.

It is a super-2 number, since 2×105672070² = 22333172756169800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105672071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14544 + ... + 20563.

It is an arithmetic number, because the mean of its divisors is an integer number (6951384).

Almost surely, 2^105672070 is an apocalyptic number.

105672070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105672070 is an abundant number, since it is smaller than the sum of its proper divisors (116772218).

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

105672070 is a wasteful number, since it uses less digits than its factorization.

105672070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35164.

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 105672070 is about 10279.6921160120. The cubic root of 105672070 is about 472.7738043335.

The spelling of 105672070 in words is "one hundred five million, six hundred seventy-two thousand, seventy".