101863944 has 144 divisors (see below), whose sum is σ = 345765420. Its totient is φ = 26853120.

The previous prime is 101863907. The next prime is 101863969. The reversal of 101863944 is 449368101.

101863944 is a `hidden beast` number, since 1 + 0 + 18 + 639 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100761444 + 1102500 = 10038^2 + 1050^2 .

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 = 101863899 and 101863908.

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, 44754 + ... + 46974.

Almost surely, 2^101863944 is an apocalyptic number.

101863944 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 101863944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172882710).

101863944 is an abundant number, since it is smaller than the sum of its proper divisors (243901476).

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

101863944 is a wasteful number, since it uses less digits than its factorization.

101863944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 101863944 is about 10092.7669149743. The cubic root of 101863944 is about 467.0250358368.

The spelling of 101863944 in words is "one hundred one million, eight hundred sixty-three thousand, nine hundred forty-four".