100865940 has 192 divisors, whose sum is σ = 341311488. Its totient is φ = 21772800.

The previous prime is 100865911. The next prime is 100865951. The reversal of 100865940 is 49568001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794157 + ... + 794283.

It is an arithmetic number, because the mean of its divisors is an integer number (1777664).

Almost surely, 2^100865940 is an apocalyptic number.

100865940 is a gapful number since it is divisible by the number (10) 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 100865940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170655744).

100865940 is an abundant number, since it is smaller than the sum of its proper divisors (240445548).

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

100865940 is a wasteful number, since it uses less digits than its factorization.

100865940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 100865940 is about 10043.2036721357. The cubic root of 100865940 is about 465.4948137759.

The spelling of 100865940 in words is "one hundred million, eight hundred sixty-five thousand, nine hundred forty".