100352080 has 40 divisors (see below), whose sum is σ = 233938152. Its totient is φ = 40034304.

The previous prime is 100352069. The next prime is 100352099. The reversal of 100352080 is 80253001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 98883136 = 1212^2 + 9944^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33192 + ... + 36088.

Almost surely, 2^100352080 is an apocalyptic number.

100352080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100352080 is an abundant number, since it is smaller than the sum of its proper divisors (133586072).

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

100352080 is a wasteful number, since it uses less digits than its factorization.

100352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 100352080 is about 10017.5885321768. The cubic root of 100352080 is about 464.7029821712.

It can be divided in two parts, 1003520 and 80, that multiplied together give a square (80281600 = 8960²).

The spelling of 100352080 in words is "one hundred million, three hundred fifty-two thousand, eighty".