106111001051 has 24 divisors (see below), whose sum is σ = 122218575984. Its totient is φ = 91351592640.

The previous prime is 106111001039. The next prime is 106111001053. The reversal of 106111001051 is 150100111601.

It is not a de Polignac number, because 106111001051 - 2⁶ = 106111000987 is a prime.

It is a super-2 number, since 2×106111001051² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106111001053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17298581 + ... + 17304713.

It is an arithmetic number, because the mean of its divisors is an integer number (5092440666).

Almost surely, 2^106111001051 is an apocalyptic number.

106111001051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106111001051 is a deficient number, since it is larger than the sum of its proper divisors (16107574933).

106111001051 is a wasteful number, since it uses less digits than its factorization.

106111001051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10520 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 106111001051 its reverse (150100111601), we get a palindrome (256211112652).

The spelling of 106111001051 in words is "one hundred six billion, one hundred eleven million, one thousand, fifty-one".