100347120 has 80 divisors (see below), whose sum is σ = 345647520. Its totient is φ = 26758656.

The previous prime is 100347119. The next prime is 100347139. The reversal of 100347120 is 21743001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100347093 and 100347102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21069 + ... + 25388.

It is an arithmetic number, because the mean of its divisors is an integer number (4320594).

Almost surely, 2^100347120 is an apocalyptic number.

100347120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100347120 is an abundant number, since it is smaller than the sum of its proper divisors (245300400).

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

100347120 is a wasteful number, since it uses less digits than its factorization.

100347120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46479 (or 46467 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 100347120 is about 10017.3409645474. The cubic root of 100347120 is about 464.6953259114.

The spelling of 100347120 in words is "one hundred million, three hundred forty-seven thousand, one hundred twenty".