101223936 has 120 divisors (see below), whose sum is σ = 318856824. Its totient is φ = 30658560.

The previous prime is 101223869. The next prime is 101224003. The reversal of 101223936 is 639322101.

It is an interprime number because it is at equal distance from previous prime (101223869) and next prime (101224003).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49690 + ... + 51686.

Almost surely, 2^101223936 is an apocalyptic number.

101223936 is a gapful number since it is divisible by the number (16) 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 101223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159428412).

101223936 is an abundant number, since it is smaller than the sum of its proper divisors (217632888).

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

101223936 is a wasteful number, since it uses less digits than its factorization.

101223936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 101223936 is about 10061.0106848169. The cubic root of 101223936 is about 466.0448789260.

The spelling of 101223936 in words is "one hundred one million, two hundred twenty-three thousand, nine hundred thirty-six".