100389090244608 has 1728 divisors, whose sum is σ = 350323610364000. Its totient is φ = 28377234800640.

The previous prime is 100389090244607. The next prime is 100389090244613. The reversal of 100389090244608 is 806442090983001.

100389090244608 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 8 + 9 + 0 + 9 + 0 + 24 + 4 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×100389090244608² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100389090244603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 373193643898 + ... + 373193644166.

Almost surely, 2^{100389090244608} is an apocalyptic number.

100389090244608 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 100389090244608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175161805182000).

100389090244608 is an abundant number, since it is smaller than the sum of its proper divisors (249934520119392).

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

100389090244608 is a wasteful number, since it uses less digits than its factorization.

100389090244608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 100389090244608 in words is "one hundred trillion, three hundred eighty-nine billion, ninety million, two hundred forty-four thousand, six hundred eight".