106055100 has 54 divisors (see below), whose sum is σ = 332426640. Its totient is φ = 28281120.

The previous prime is 106055087. The next prime is 106055101. The reversal of 106055100 is 1550601.

106055100 is a `hidden beast` number, since 10 + 605 + 51 + 0 + 0 = 666.

It is a super-2 number, since 2×106055100² = 22495368472020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055101) 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 17 ways as a sum of consecutive naturals, for example, 58020 + ... + 59819.

Almost surely, 2^106055100 is an apocalyptic number.

106055100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106055100 is an abundant number, since it is smaller than the sum of its proper divisors (226371540).

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

106055100 is a wasteful number, since it uses less digits than its factorization.

106055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117859 (or 117849 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 106055100 is about 10298.3056858883. The cubic root of 106055100 is about 473.3443372874.

The spelling of 106055100 in words is "one hundred six million, fifty-five thousand, one hundred".