100022542848 has 150 divisors (see below), whose sum is σ = 298733312229. Its totient is φ = 33319378944.

The previous prime is 100022542819. The next prime is 100022542877. The reversal of 100022542848 is 848245220001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

100022542848 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 225 + 428 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (100022542819) and next prime (100022542877).

It can be written as a sum of positive squares in 2 ways, for example, as 80229429504 + 19793113344 = 283248^2 + 140688^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=223632.

It is a super-2 number, since 2×100022542848² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64405240 + ... + 64406792.

Almost surely, 2^100022542848 is an apocalyptic number.

100022542848 is a gapful number since it is divisible by the number (18) 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 100022542848

100022542848 is an abundant number, since it is smaller than the sum of its proper divisors (198710769381).

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

100022542848 is an frugal number, since it uses more digits than its factorization.

100022542848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

Adding to 100022542848 its reverse (848245220001), we get a palindrome (948267762849).

The spelling of 100022542848 in words is "one hundred billion, twenty-two million, five hundred forty-two thousand, eight hundred forty-eight".