106100100111096 has 256 divisors, whose sum is σ = 368883446400000. Its totient is φ = 27508164973056.

The previous prime is 106100100111059. The next prime is 106100100111097. The reversal of 106100100111096 is 690111001001601.

106100100111096 is a `hidden beast` number, since 10 + 610 + 0 + 10 + 0 + 11 + 10 + 9 + 6 = 666.

It is a super-2 number, since 2×106100100111096² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100100111097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44584771 + ... + 46904178.

It is an arithmetic number, because the mean of its divisors is an integer number (1440950962500).

Almost surely, 2^{106100100111096} is an apocalyptic number.

It is an amenable number.

106100100111096 is an abundant number, since it is smaller than the sum of its proper divisors (262783346288904).

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

106100100111096 is a wasteful number, since it uses less digits than its factorization.

106100100111096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91489043 (or 91489033 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

Adding to 106100100111096 its reverse (690111001001601), we get a palindrome (796211101112697).

The spelling of 106100100111096 in words is "one hundred six trillion, one hundred billion, one hundred million, one hundred eleven thousand, ninety-six".