106100100100 has 72 divisors (see below), whose sum is σ = 231108958080. Its totient is φ = 42279646080.

The previous prime is 106100100091. The next prime is 106100100149. The reversal of 106100100100 is 1001001601.

It is a super-2 number, since 2×106100100100² (a number of 23 digits) 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61577839 + ... + 61579561.

It is an arithmetic number, because the mean of its divisors is an integer number (3209846640).

Almost surely, 2^106100100100 is an apocalyptic number.

106100100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106100100100 is an abundant number, since it is smaller than the sum of its proper divisors (125008857980).

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

106100100100 is a wasteful number, since it uses less digits than its factorization.

106100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3702 counting only the distinct ones).

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

Adding to 106100100100 its reverse (1001001601), we get a palindrome (107101101701).

The spelling of 106100100100 in words is "one hundred six billion, one hundred million, one hundred thousand, one hundred".