106446970 has 32 divisors (see below), whose sum is σ = 221760000. Its totient is φ = 36032256.

The previous prime is 106446959. The next prime is 106446983. The reversal of 106446970 is 79644601.

It is a super-2 number, since 2×106446970² = 22661914844361800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4095 + ... + 15154.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^106446970 is an apocalyptic number.

106446970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106446970 is an abundant number, since it is smaller than the sum of its proper divisors (115313030).

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

106446970 is a wasteful number, since it uses less digits than its factorization.

106446970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 106446970 is about 10317.3140884631. The cubic root of 106446970 is about 473.9266178007.

It can be divided in two parts, 106446 and 970, that added together give a triangular number (107416 = T₄₆₃).

The spelling of 106446970 in words is "one hundred six million, four hundred forty-six thousand, nine hundred seventy".