106055500110100 has 36 divisors (see below), whose sum is σ = 231154269804864. Its totient is φ = 42235318096480.

The previous prime is 106055500110031. The next prime is 106055500110107. The reversal of 106055500110100 is 1011005550601.

It is a super-3 number, since 3×106055500110100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055500110107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2336001532 + ... + 2336046931.

It is an arithmetic number, because the mean of its divisors is an integer number (6420951939024).

Almost surely, 2^{106055500110100} is an apocalyptic number.

106055500110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106055500110100 is an abundant number, since it is smaller than the sum of its proper divisors (125098769694764).

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

106055500110100 is a wasteful number, since it uses less digits than its factorization.

106055500110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672048704 (or 4672048697 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 25.

Adding to 106055500110100 its reverse (1011005550601), we get a palindrome (107066505660701).

The spelling of 106055500110100 in words is "one hundred six trillion, fifty-five billion, five hundred million, one hundred ten thousand, one hundred".