106004267551 has 24 divisors (see below), whose sum is σ = 133013678784. Its totient is φ = 83734378560.

The previous prime is 106004267543. The next prime is 106004267569. The reversal of 106004267551 is 155762400601.

It is a happy number.

It is not a de Polignac number, because 106004267551 - 2³ = 106004267543 is a prime.

It is a super-2 number, since 2×106004267551² (a number of 23 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 106004267551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004267591) 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, 254746 + ... + 526216.

It is an arithmetic number, because the mean of its divisors is an integer number (5542236616).

Almost surely, 2^106004267551 is an apocalyptic number.

106004267551 is a deficient number, since it is larger than the sum of its proper divisors (27009411233).

106004267551 is a wasteful number, since it uses less digits than its factorization.

106004267551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272111 (or 272104 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 106004267551 in words is "one hundred six billion, four million, two hundred sixty-seven thousand, five hundred fifty-one".