106101100 has 36 divisors (see below), whose sum is σ = 263132464. Its totient is φ = 36377280.

The previous prime is 106101077. The next prime is 106101113. The reversal of 106101100 is 1101601.

It is a super-2 number, since 2×106101100² = 22514886842420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75087 + ... + 76486.

Almost surely, 2^106101100 is an apocalyptic number.

106101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106101100 is an abundant number, since it is smaller than the sum of its proper divisors (157031364).

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

106101100 is a wasteful number, since it uses less digits than its factorization.

106101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151594 (or 151587 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 106101100 is about 10300.5388208579. The cubic root of 106101100 is about 473.4127630153.

Adding to 106101100 its reverse (1101601), we get a palindrome (107202701).

The spelling of 106101100 in words is "one hundred six million, one hundred one thousand, one hundred".