106553355601 has 32 divisors (see below), whose sum is σ = 133238476800. Its totient is φ = 82783572480.

The previous prime is 106553355539. The next prime is 106553355613.

It is a happy number.

106553355601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106553355601 - 2¹³ = 106553347409 is a prime.

It is a super-2 number, since 2×106553355601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106553355901) 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, 53841030 + ... + 53843008.

It is an arithmetic number, because the mean of its divisors is an integer number (4163702400).

Almost surely, 2^106553355601 is an apocalyptic number.

106553355601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106553355601 is a deficient number, since it is larger than the sum of its proper divisors (26685121199).

106553355601 is a wasteful number, since it uses less digits than its factorization.

106553355601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709.

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 106553355601 in words is "one hundred six billion, five hundred fifty-three million, three hundred fifty-five thousand, six hundred one".