106838580 has 24 divisors (see below), whose sum is σ = 299148192. Its totient is φ = 28490272.

The previous prime is 106838569. The next prime is 106838587. The reversal of 106838580 is 85838601.

It is a happy number.

It is a super-2 number, since 2×106838580² = 22828964352832800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106838587) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 890262 + ... + 890381.

It is an arithmetic number, because the mean of its divisors is an integer number (12464508).

Almost surely, 2^106838580 is an apocalyptic number.

106838580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106838580 is an abundant number, since it is smaller than the sum of its proper divisors (192309612).

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

106838580 is a wasteful number, since it uses less digits than its factorization.

106838580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780655 (or 1780653 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 106838580 is about 10336.2749576431. The cubic root of 106838580 is about 474.5070860881.

The spelling of 106838580 in words is "one hundred six million, eight hundred thirty-eight thousand, five hundred eighty".