100755720 has 96 divisors (see below), whose sum is σ = 352661400. Its totient is φ = 24800256.

The previous prime is 100755701. The next prime is 100755749. The reversal of 100755720 is 27557001.

100755720 is a `hidden beast` number, since 100 + 7 + 557 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44595684 + 56160036 = 6678^2 + 7494^2 .

It is a super-2 number, since 2×100755720² = 20303430225436800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6085 + ... + 15444.

Almost surely, 2^100755720 is an apocalyptic number.

100755720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100755720 is an abundant number, since it is smaller than the sum of its proper divisors (251905680).

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

100755720 is a wasteful number, since it uses less digits than its factorization.

100755720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21559 (or 21552 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 100755720 is about 10037.7148793936. The cubic root of 100755720 is about 465.3251974250.

It can be divided in two parts, 100755 and 720, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 100755720 in words is "one hundred million, seven hundred fifty-five thousand, seven hundred twenty".