106111010051055 has 24 divisors (see below), whose sum is σ = 188896716994752. Its totient is φ = 55063010620224.

The previous prime is 106111010050963. The next prime is 106111010051063. The reversal of 106111010051055 is 550150010111601.

106111010051055 is a `hidden beast` number, since 10 + 611 + 10 + 10 + 0 + 5 + 10 + 5 + 5 = 666.

It is not a de Polignac number, because 106111010051055 - 2¹² = 106111010046959 is a prime.

It is a super-2 number, since 2×106111010051055² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 31865166519 + ... + 31865169848.

It is an arithmetic number, because the mean of its divisors is an integer number (7870696541448).

Almost surely, 2^{106111010051055} is an apocalyptic number.

106111010051055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106111010051055 is a deficient number, since it is larger than the sum of its proper divisors (82785706943697).

106111010051055 is a wasteful number, since it uses less digits than its factorization.

106111010051055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63730336415 (or 63730336412 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

Adding to 106111010051055 its reverse (550150010111601), we get a palindrome (656261020162656).

The spelling of 106111010051055 in words is "one hundred six trillion, one hundred eleven billion, ten million, fifty-one thousand, fifty-five".