10959996100 has 135 divisors (see below), whose sum is σ = 25999991927. Its totient is φ = 4010045760.

The previous prime is 10959996079. The next prime is 10959996143. The reversal of 10959996100 is 169995901.

The square root of 10959996100 is 104690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 150651076 + 10809345024 = 12274^2 + 103968^2 .

It is a super-3 number, since 3×10959996100³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 377930886 + ... + 377930914.

Almost surely, 2^10959996100 is an apocalyptic number.

10959996100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10959996100 is the 104690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10959996100

10959996100 is an abundant number, since it is smaller than the sum of its proper divisors (15039995827).

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

10959996100 is an frugal number, since it uses more digits than its factorization.

10959996100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 196830, while the sum is 49.

Multiplying 10959996100 by its sum of digits (49), we get a square (537039808900 = 732830²).

The spelling of 10959996100 in words is "ten billion, nine hundred fifty-nine million, nine hundred ninety-six thousand, one hundred".