106006401553 has 8 divisors (see below), whose sum is σ = 118097317800. Its totient is φ = 94477853568.

The previous prime is 106006401547. The next prime is 106006401569. The reversal of 106006401553 is 355104600601.

It can be written as a sum of positive squares in 4 ways, for example, as 2301792529 + 103704609024 = 47977^2 + 322032^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106006401553 is a prime.

It is a super-2 number, since 2×106006401553² (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 (106006401583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140591668 + ... + 140592421.

It is an arithmetic number, because the mean of its divisors is an integer number (14762164725).

Almost surely, 2^106006401553 is an apocalyptic number.

106006401553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106006401553 is a deficient number, since it is larger than the sum of its proper divisors (12090916247).

106006401553 is a wasteful number, since it uses less digits than its factorization.

106006401553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281184131.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 106006401553 in words is "one hundred six billion, six million, four hundred one thousand, five hundred fifty-three".