100776582144 has 396 divisors, whose sum is σ = 347765747056. Its totient is φ = 27532099584.

The previous prime is 100776582113. The next prime is 100776582161. The reversal of 100776582144 is 441285677001.

It is a self number, because there is not a number n which added to its sum of digits gives 100776582144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34125372 + ... + 34128324.

Almost surely, 2^100776582144 is an apocalyptic number.

100776582144 is a gapful number since it is divisible by the number (14) 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 100776582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173882873528).

100776582144 is an abundant number, since it is smaller than the sum of its proper divisors (246989164912).

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

100776582144 is a wasteful number, since it uses less digits than its factorization.

100776582144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 100776582144 in words is "one hundred billion, seven hundred seventy-six million, five hundred eighty-two thousand, one hundred forty-four".