106779100 has 36 divisors (see below), whose sum is σ = 236094264. Its totient is φ = 41903680.

The previous prime is 106779089. The next prime is 106779103. The reversal of 106779100 is 1977601.

It is a super-2 number, since 2×106779100² = 22803552393620000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106779103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4774 + ... + 15373.

It is an arithmetic number, because the mean of its divisors is an integer number (6558174).

Almost surely, 2^106779100 is an apocalyptic number.

106779100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106779100 is an abundant number, since it is smaller than the sum of its proper divisors (129315164).

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

106779100 is a wasteful number, since it uses less digits than its factorization.

106779100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20214 (or 20207 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 31.

The square root of 106779100 is about 10333.3973116299. The cubic root of 106779100 is about 474.4190126576.

The spelling of 106779100 in words is "one hundred six million, seven hundred seventy-nine thousand, one hundred".