101105006100 has 144 divisors (see below), whose sum is σ = 353986593408. Its totient is φ = 21750312960.

The previous prime is 101105006081. The next prime is 101105006183. The reversal of 101105006100 is 1600501101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101105006100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380337 + ... + 1451736.

It is an arithmetic number, because the mean of its divisors is an integer number (2458240232).

Almost surely, 2^101105006100 is an apocalyptic number.

101105006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101105006100 is an abundant number, since it is smaller than the sum of its proper divisors (252881587308).

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

101105006100 is a wasteful number, since it uses less digits than its factorization.

101105006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832114 (or 2832107 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 101105006100 its reverse (1600501101), we get a palindrome (102705507201).

The spelling of 101105006100 in words is "one hundred one billion, one hundred five million, six thousand, one hundred".