106834727951 has 32 divisors (see below), whose sum is σ = 126814195200. Its totient is φ = 88105014144.

The previous prime is 106834727927. The next prime is 106834728017. The reversal of 106834727951 is 159727438601.

It is not a de Polignac number, because 106834727951 - 2¹⁴ = 106834711567 is a prime.

It is a super-2 number, since 2×106834727951² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106834727893 and 106834727902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106834727851) 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, 8712941 + ... + 8725193.

It is an arithmetic number, because the mean of its divisors is an integer number (3962943600).

It is a 1-persistent number, because it is pandigital, but 2⋅106834727951 = 213669455902 is not.

Almost surely, 2^106834727951 is an apocalyptic number.

106834727951 is a deficient number, since it is larger than the sum of its proper divisors (19979467249).

106834727951 is a wasteful number, since it uses less digits than its factorization.

106834727951 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12735.

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 106834727951 in words is "one hundred six billion, eight hundred thirty-four million, seven hundred twenty-seven thousand, nine hundred fifty-one".