106100526100 has 18 divisors (see below), whose sum is σ = 230238141854. Its totient is φ = 42440210400.

The previous prime is 106100526071. The next prime is 106100526109. The reversal of 106100526100 is 1625001601.

It can be written as a sum of positive squares in 3 ways, for example, as 556110724 + 105544415376 = 23582^2 + 324876^2 .

It is a super-2 number, since 2×106100526100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106100526109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 530502531 + ... + 530502730.

Almost surely, 2^106100526100 is an apocalyptic number.

106100526100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106100526100 is an abundant number, since it is smaller than the sum of its proper divisors (124137615754).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106100526100 is a wasteful number, since it uses less digits than its factorization.

106100526100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061005275 (or 1061005268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 106100526100 its reverse (1625001601), we get a palindrome (107725527701).

The spelling of 106100526100 in words is "one hundred six billion, one hundred million, five hundred twenty-six thousand, one hundred".