100948105296 has 120 divisors (see below), whose sum is σ = 288624792456. Its totient is φ = 32925035520.

The previous prime is 100948105273. The next prime is 100948105301. The reversal of 100948105296 is 692501849001.

100948105296 is a `hidden beast` number, since 100 + 9 + 4 + 8 + 10 + 529 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21275139600 + 79672965696 = 145860^2 + 282264^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2829006 + ... + 2864466.

Almost surely, 2^100948105296 is an apocalyptic number.

100948105296 is a gapful number since it is divisible by the number (16) 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 100948105296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144312396228).

100948105296 is an abundant number, since it is smaller than the sum of its proper divisors (187676687160).

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

100948105296 is a wasteful number, since it uses less digits than its factorization.

100948105296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35901 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 100948105296 in words is "one hundred billion, nine hundred forty-eight million, one hundred five thousand, two hundred ninety-six".