106006010051051 has 32 divisors (see below), whose sum is σ = 119251890242496. Its totient is φ = 93420967680000.

The previous prime is 106006010051047. The next prime is 106006010051069. The reversal of 106006010051051 is 150150010600601.

It is a cyclic number.

It is not a de Polignac number, because 106006010051051 - 2² = 106006010051047 is a prime.

It is a super-2 number, since 2×106006010051051² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106006010051051.

It is not an unprimeable number, because it can be changed into a prime (106006610051051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6340841 + ... + 15881381.

It is an arithmetic number, because the mean of its divisors is an integer number (3726621570078).

Almost surely, 2^{106006010051051} is an apocalyptic number.

106006010051051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106006010051051 is a deficient number, since it is larger than the sum of its proper divisors (13245880191445).

106006010051051 is a wasteful number, since it uses less digits than its factorization.

106006010051051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540863.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 106006010051051 its reverse (150150010600601), we get a palindrome (256156020651652).

It can be divided in two parts, 1060060 and 10051051, that added together give a palindrome (11111111).

The spelling of 106006010051051 in words is "one hundred six trillion, six billion, ten million, fifty-one thousand, fifty-one".