101823132 has 24 divisors (see below), whose sum is σ = 251563536. Its totient is φ = 31944448.

The previous prime is 101823121. The next prime is 101823151. The reversal of 101823132 is 231328101.

It is a super-3 number, since 3×101823132³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101823099 and 101823108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249363 + ... + 249770.

It is an arithmetic number, because the mean of its divisors is an integer number (10481814).

Almost surely, 2^101823132 is an apocalyptic number.

101823132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101823132 is an abundant number, since it is smaller than the sum of its proper divisors (149740404).

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

101823132 is a wasteful number, since it uses less digits than its factorization.

101823132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499157 (or 499155 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 101823132 is about 10090.7448684426. The cubic root of 101823132 is about 466.9626559895.

The spelling of 101823132 in words is "one hundred one million, eight hundred twenty-three thousand, one hundred thirty-two".