100763838 has 72 divisors (see below), whose sum is σ = 259330032. Its totient is φ = 28763424.

The previous prime is 100763809. The next prime is 100763869. The reversal of 100763838 is 838367001.

100763838 is a `hidden beast` number, since 10 + 0 + 7 + 638 + 3 + 8 = 666.

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 35 ways as a sum of consecutive naturals, for example, 91306 + ... + 92402.

It is an arithmetic number, because the mean of its divisors is an integer number (3601806).

Almost surely, 2^100763838 is an apocalyptic number.

100763838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100763838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129665016).

100763838 is an abundant number, since it is smaller than the sum of its proper divisors (158566194).

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

100763838 is an frugal number, since it uses more digits than its factorization.

100763838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 100763838 is about 10038.1192461536. The cubic root of 100763838 is about 465.3376943450.

The spelling of 100763838 in words is "one hundred million, seven hundred sixty-three thousand, eight hundred thirty-eight".