101180328 has 32 divisors (see below), whose sum is σ = 267831360. Its totient is φ = 31742720.

The previous prime is 101180309. The next prime is 101180329. The reversal of 101180328 is 823081101.

It is a super-3 number, since 3×101180328³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101180298 and 101180307.

It is not an unprimeable number, because it can be changed into a prime (101180329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123588 + ... + 124403.

It is an arithmetic number, because the mean of its divisors is an integer number (8369730).

Almost surely, 2^101180328 is an apocalyptic number.

It is an amenable number.

101180328 is an abundant number, since it is smaller than the sum of its proper divisors (166651032).

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

101180328 is a wasteful number, since it uses less digits than its factorization.

101180328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248017 (or 248013 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 101180328 is about 10058.8432734584. The cubic root of 101180328 is about 465.9779441507.

The spelling of 101180328 in words is "one hundred one million, one hundred eighty thousand, three hundred twenty-eight".