100093830 has 16 divisors (see below), whose sum is σ = 240225264. Its totient is φ = 26691680.

The previous prime is 100093813. The next prime is 100093831. The reversal of 100093830 is 38390001.

It is a self number, because there is not a number n which added to its sum of digits gives 100093830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100093831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1668201 + ... + 1668260.

It is an arithmetic number, because the mean of its divisors is an integer number (15014079).

Almost surely, 2^100093830 is an apocalyptic number.

100093830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100093830 is an abundant number, since it is smaller than the sum of its proper divisors (140131434).

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

100093830 is a wasteful number, since it uses less digits than its factorization.

100093830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336471.

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 100093830 is about 10004.6904000074. The cubic root of 100093830 is about 464.3040114063.

It can be divided in two parts, 1000 and 93830, that added together give a triangular number (94830 = T₄₃₅).

The spelling of 100093830 in words is "one hundred million, ninety-three thousand, eight hundred thirty".