101946944 has 56 divisors (see below), whose sum is σ = 222199200. Its totient is φ = 46023680.

The previous prime is 101946899. The next prime is 101946947. The reversal of 101946944 is 449649101.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 101946898 and 101946907.

It is not an unprimeable number, because it can be changed into a prime (101946947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125612 + ... + 126420.

Almost surely, 2^101946944 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 101946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111099600).

101946944 is an abundant number, since it is smaller than the sum of its proper divisors (120252256).

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

101946944 is a wasteful number, since it uses less digits than its factorization.

101946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 101946944 is about 10096.8779333020. The cubic root of 101946944 is about 467.1518473235.

The spelling of 101946944 in words is "one hundred one million, nine hundred forty-six thousand, nine hundred forty-four".