106257752601 has 64 divisors (see below), whose sum is σ = 198494392320. Its totient is φ = 48737399040.

The previous prime is 106257752591. The next prime is 106257752611.

It is a happy number.

106257752601 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (106257752591) and next prime (106257752611).

It is not a de Polignac number, because 106257752601 - 2⁹ = 106257752089 is a prime.

It is a super-2 number, since 2×106257752601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106257752611) 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, 700146 + ... + 838283.

It is an arithmetic number, because the mean of its divisors is an integer number (3101474880).

Almost surely, 2^106257752601 is an apocalyptic number.

106257752601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106257752601 is a deficient number, since it is larger than the sum of its proper divisors (92236639719).

106257752601 is a wasteful number, since it uses less digits than its factorization.

106257752601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538486.

The product of its (nonzero) digits is 176400, while the sum is 42.

It can be divided in two parts, 106257 and 752601, that added together give a palindrome (858858).

The spelling of 106257752601 in words is "one hundred six billion, two hundred fifty-seven million, seven hundred fifty-two thousand, six hundred one".