106011111110100 has 72 divisors (see below), whose sum is σ = 350543407411008. Its totient is φ = 24231111110400.

The previous prime is 106011111110087. The next prime is 106011111110123. The reversal of 106011111110100 is 1011111110601.

It is a super-2 number, since 2×106011111110100² (a number of 29 digits) contains 22 as substring.

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 106011111110100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25240738641 + ... + 25240742840.

It is an arithmetic number, because the mean of its divisors is an integer number (4868658436264).

Almost surely, 2^{106011111110100} is an apocalyptic number.

106011111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106011111110100 is an abundant number, since it is smaller than the sum of its proper divisors (244532296300908).

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

106011111110100 is a wasteful number, since it uses less digits than its factorization.

106011111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50481481505 (or 50481481498 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 106011111110100 its reverse (1011111110601), we get a palindrome (107022222220701).

The spelling of 106011111110100 in words is "one hundred six trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one hundred".