11106052020 has 192 divisors, whose sum is σ = 39560855040. Its totient is φ = 2533856256.

The previous prime is 11106051949. The next prime is 11106052037. The reversal of 11106052020 is 2025060111.

11106052020 is a `hidden beast` number, since 11 + 10 + 605 + 20 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11106051984 and 11106052002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2314744 + ... + 2319536.

It is an arithmetic number, because the mean of its divisors is an integer number (206046120).

Almost surely, 2^11106052020 is an apocalyptic number.

11106052020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11106052020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780427520).

11106052020 is an abundant number, since it is smaller than the sum of its proper divisors (28454803020).

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

11106052020 is a wasteful number, since it uses less digits than its factorization.

11106052020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11106052020 in words is "eleven billion, one hundred six million, fifty-two thousand, twenty".