101994048 has 168 divisors, whose sum is σ = 322024248. Its totient is φ = 30670848.

The previous prime is 101994047. The next prime is 101994059. The reversal of 101994048 is 840499101.

It can be written as a sum of positive squares in 4 ways, for example, as 36578304 + 65415744 = 6048^2 + 8088^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101994047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396736 + ... + 396992.

It is an arithmetic number, because the mean of its divisors is an integer number (1916811).

Almost surely, 2^101994048 is an apocalyptic number.

101994048 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 101994048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161012124).

101994048 is an abundant number, since it is smaller than the sum of its proper divisors (220030200).

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

101994048 is a wasteful number, since it uses less digits than its factorization.

101994048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101994048 is about 10099.2102661545. The cubic root of 101994048 is about 467.2237845213.

The spelling of 101994048 in words is "one hundred one million, nine hundred ninety-four thousand, forty-eight".