100415553444 has 192 divisors, whose sum is σ = 274159226880. Its totient is φ = 31723211520.

The previous prime is 100415553419. The next prime is 100415553457. The reversal of 100415553444 is 444355514001.

100415553444 is a `hidden beast` number, since 10 + 0 + 4 + 155 + 53 + 444 = 666.

It is a super-2 number, since 2×100415553444² (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 a junction number, because it is equal to n+sod(n) for n = 100415553399 and 100415553408.

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, 183574779 + ... + 183575325.

It is an arithmetic number, because the mean of its divisors is an integer number (1427912640).

Almost surely, 2^100415553444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100415553444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137079613440).

100415553444 is an abundant number, since it is smaller than the sum of its proper divisors (173743673436).

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

100415553444 is a wasteful number, since it uses less digits than its factorization.

100415553444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 100415553444 in words is "one hundred billion, four hundred fifteen million, five hundred fifty-three thousand, four hundred forty-four".