100182096 has 160 divisors (see below), whose sum is σ = 333510400. Its totient is φ = 28553472.

The previous prime is 100182091. The next prime is 100182097. The reversal of 100182096 is 690281001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100182091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244740 + ... + 245148.

It is an arithmetic number, because the mean of its divisors is an integer number (2084440).

Almost surely, 2^100182096 is an apocalyptic number.

100182096 is a gapful number since it is divisible by the number (16) 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 100182096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166755200).

100182096 is an abundant number, since it is smaller than the sum of its proper divisors (233328304).

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

100182096 is an frugal number, since it uses more digits than its factorization.

100182096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100182096 is about 10009.1006589004. The cubic root of 100182096 is about 464.4404507761.

The spelling of 100182096 in words is "one hundred million, one hundred eighty-two thousand, ninety-six".