100101936 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 29621760.

The previous prime is 100101923. The next prime is 100101941. The reversal of 100101936 is 639101001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20500 + ... + 24908.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2^100101936 is an apocalyptic number.

100101936 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 100101936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

100101936 is an abundant number, since it is smaller than the sum of its proper divisors (188629584).

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

100101936 is a wasteful number, since it uses less digits than its factorization.

100101936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4474 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 100101936 is about 10005.0955017931. The cubic root of 100101936 is about 464.3165448019.

Adding to 100101936 its reverse (639101001), we get a palindrome (739202937).

The spelling of 100101936 in words is "one hundred million, one hundred one thousand, nine hundred thirty-six".