100192848 has 120 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 27901440.

The previous prime is 100192831. The next prime is 100192891. The reversal of 100192848 is 848291001.

It is a super-2 number, since 2×100192848² = 20077213580702208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95913 + ... + 96951.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^100192848 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 100192848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154365120).

100192848 is an abundant number, since it is smaller than the sum of its proper divisors (208537392).

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

100192848 is a wasteful number, since it uses less digits than its factorization.

100192848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 100192848 is about 10009.6377556833. The cubic root of 100192848 is about 464.4570654717.

The spelling of 100192848 in words is "one hundred million, one hundred ninety-two thousand, eight hundred forty-eight".