100444563054 has 80 divisors (see below), whose sum is σ = 245830947120. Its totient is φ = 30400583040.

The previous prime is 100444563049. The next prime is 100444563101. The reversal of 100444563054 is 450365444001.

100444563054 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 44 + 563 + 0 + 54 = 666.

It is a super-2 number, since 2×100444563054² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1443282 + ... + 1511274.

It is an arithmetic number, because the mean of its divisors is an integer number (3072886839).

Almost surely, 2^100444563054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100444563054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915473560).

100444563054 is an abundant number, since it is smaller than the sum of its proper divisors (145386384066).

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

100444563054 is a wasteful number, since it uses less digits than its factorization.

100444563054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68847 (or 68838 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 100444563054 in words is "one hundred billion, four hundred forty-four million, five hundred sixty-three thousand, fifty-four".