101945304 has 72 divisors (see below), whose sum is σ = 287583660. Its totient is φ = 33833376.

The previous prime is 101945299. The next prime is 101945309. The reversal of 101945304 is 403549101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (101945299) and next prime (101945309).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101945309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 445062 + ... + 445290.

Almost surely, 2^101945304 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 101945304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143791830).

101945304 is an abundant number, since it is smaller than the sum of its proper divisors (185638356).

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

101945304 is an frugal number, since it uses more digits than its factorization.

101945304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101945304 is about 10096.7967197523. The cubic root of 101945304 is about 467.1493423174.

The spelling of 101945304 in words is "one hundred one million, nine hundred forty-five thousand, three hundred four".