100352720 has 40 divisors (see below), whose sum is σ = 251270376. Its totient is φ = 37052928.

The previous prime is 100352719. The next prime is 100352741. The reversal of 100352720 is 27253001.

It can be written as a sum of positive squares in 4 ways, for example, as 512656 + 99840064 = 716^2 + 9992^2 .

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

It is a super-2 number, since 2×100352720² = 20141336822796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100352692 and 100352701.

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, 47207 + ... + 49286.

Almost surely, 2^100352720 is an apocalyptic number.

100352720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100352720 is an abundant number, since it is smaller than the sum of its proper divisors (150917656).

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

100352720 is a wasteful number, since it uses less digits than its factorization.

100352720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96519 (or 96513 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 100352720 is about 10017.6204759414. The cubic root of 100352720 is about 464.7039700573.

The spelling of 100352720 in words is "one hundred million, three hundred fifty-two thousand, seven hundred twenty".