106438980 has 48 divisors (see below), whose sum is σ = 298718784. Its totient is φ = 28318080.

The previous prime is 106438979. The next prime is 106438987. The reversal of 106438980 is 89834601.

It is a super-2 number, since 2×106438980² = 22658512926880800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (106438987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27654 + ... + 31266.

It is an arithmetic number, because the mean of its divisors is an integer number (6223308).

Almost surely, 2^106438980 is an apocalyptic number.

106438980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106438980 is an abundant number, since it is smaller than the sum of its proper divisors (192279804).

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

106438980 is a wasteful number, since it uses less digits than its factorization.

106438980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 106438980 is about 10316.9268680165. The cubic root of 106438980 is about 473.9147597259.

The spelling of 106438980 in words is "one hundred six million, four hundred thirty-eight thousand, nine hundred eighty".