100468228641 has 32 divisors (see below), whose sum is σ = 150252834816. Its totient is φ = 59185296000.

The previous prime is 100468228639. The next prime is 100468228661. The reversal of 100468228641 is 146822864001.

It is not a de Polignac number, because 100468228641 - 2¹ = 100468228639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100468228593 and 100468228602.

It is not an unprimeable number, because it can be changed into a prime (100468228621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229660 + ... + 503666.

It is an arithmetic number, because the mean of its divisors is an integer number (4695401088).

Almost surely, 2^100468228641 is an apocalyptic number.

100468228641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100468228641 is a deficient number, since it is larger than the sum of its proper divisors (49784606175).

100468228641 is a wasteful number, since it uses less digits than its factorization.

100468228641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274333.

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 100468228641 in words is "one hundred billion, four hundred sixty-eight million, two hundred twenty-eight thousand, six hundred forty-one".