106126621601 has 64 divisors (see below), whose sum is σ = 145511686656. Its totient is φ = 74732544000.

The previous prime is 106126621591. The next prime is 106126621607.

106126621601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 106126621601 - 2⁶ = 106126621537 is a prime.

It is a super-2 number, since 2×106126621601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106126621607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10005701 + ... + 10016301.

It is an arithmetic number, because the mean of its divisors is an integer number (2273620104).

Almost surely, 2^106126621601 is an apocalyptic number.

106126621601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106126621601 is a deficient number, since it is larger than the sum of its proper divisors (39385065055).

106126621601 is a wasteful number, since it uses less digits than its factorization.

106126621601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10842.

The product of its (nonzero) digits is 5184, while the sum is 32.

It can be divided in two parts, 106126 and 621601, that added together give a palindrome (727727).

The spelling of 106126621601 in words is "one hundred six billion, one hundred twenty-six million, six hundred twenty-one thousand, six hundred one".