100182720 has 224 divisors, whose sum is σ = 355518720. Its totient is φ = 23695360.

The previous prime is 100182713. The next prime is 100182727. The reversal of 100182720 is 27281001.

It is an interprime number because it is at equal distance from previous prime (100182713) and next prime (100182727).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100182727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559591 + ... + 559769.

Almost surely, 2^100182720 is an apocalyptic number.

100182720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759360).

100182720 is an abundant number, since it is smaller than the sum of its proper divisors (255336000).

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

100182720 is a wasteful number, since it uses less digits than its factorization.

100182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 100182720 is about 10009.1318304836. The cubic root of 100182720 is about 464.4414150543.

The spelling of 100182720 in words is "one hundred million, one hundred eighty-two thousand, seven hundred twenty".