101199744 has 96 divisors (see below), whose sum is σ = 294292440. Its totient is φ = 33377280.

The previous prime is 101199733. The next prime is 101199751. The reversal of 101199744 is 447991101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 101199699 and 101199708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122854 + ... + 123674.

Almost surely, 2^101199744 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 101199744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147146220).

101199744 is an abundant number, since it is smaller than the sum of its proper divisors (193092696).

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

101199744 is a wasteful number, since it uses less digits than its factorization.

101199744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 101199744 is about 10059.8083480750. The cubic root of 101199744 is about 466.0077485250.

The spelling of 101199744 in words is "one hundred one million, one hundred ninety-nine thousand, seven hundred forty-four".