10526600106 has 96 divisors (see below), whose sum is σ = 26001271296. Its totient is φ = 3165318000.

The previous prime is 10526600099. The next prime is 10526600113. The reversal of 10526600106 is 60100662501.

It is a happy number.

10526600106 is a `hidden beast` number, since 1 + 0 + 52 + 6 + 600 + 1 + 0 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10526600099) and next prime (10526600113).

It is a super-2 number, since 2×10526600106² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10526600106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692811 + ... + 707841.

It is an arithmetic number, because the mean of its divisors is an integer number (270846576).

Almost surely, 2^10526600106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10526600106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000635648).

10526600106 is an abundant number, since it is smaller than the sum of its proper divisors (15474671190).

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

10526600106 is a wasteful number, since it uses less digits than its factorization.

10526600106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15190 (or 15178 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10526600106 in words is "ten billion, five hundred twenty-six million, six hundred thousand, one hundred six".