106105000100 has 72 divisors (see below), whose sum is σ = 252631830528. Its totient is φ = 38360540800.

The previous prime is 106105000073. The next prime is 106105000117. The reversal of 106105000100 is 1000501601.

It is a super-2 number, since 2×106105000100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88484 + ... + 469083.

It is an arithmetic number, because the mean of its divisors is an integer number (3508775424).

Almost surely, 2^106105000100 is an apocalyptic number.

106105000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105000100 is an abundant number, since it is smaller than the sum of its proper divisors (146526830428).

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

106105000100 is a wasteful number, since it uses less digits than its factorization.

106105000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557765 (or 557758 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 106105000100 its reverse (1000501601), we get a palindrome (107105501701).

The spelling of 106105000100 in words is "one hundred six billion, one hundred five million, one hundred", and thus it is an aban number.