11446860100 has 81 divisors (see below), whose sum is σ = 26930133783. Its totient is φ = 4221397440.

The previous prime is 11446860059. The next prime is 11446860167. The reversal of 11446860100 is 106864411.

The square root of 11446860100 is 106990.

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 2950445124 + 8496414976 = 54318^2 + 92176^2 .

It is a super-2 number, since 2×11446860100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13908289 + ... + 13909111.

Almost surely, 2^11446860100 is an apocalyptic number.

11446860100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11446860100 is the 106990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11446860100

11446860100 is an abundant number, since it is smaller than the sum of its proper divisors (15483273683).

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

11446860100 is an equidigital number, since it uses as much as digits as its factorization.

11446860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 11446860100 in words is "eleven billion, four hundred forty-six million, eight hundred sixty thousand, one hundred".