100367082 has 96 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 29237760.

The previous prime is 100367041. The next prime is 100367089. The reversal of 100367082 is 280763001.

It is a super-2 number, since 2×100367082² = 20147102298389448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100367089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354513 + ... + 354795.

It is an arithmetic number, because the mean of its divisors is an integer number (2575170).

Almost surely, 2^100367082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100367082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123608160).

100367082 is an abundant number, since it is smaller than the sum of its proper divisors (146849238).

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

100367082 is a wasteful number, since it uses less digits than its factorization.

100367082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 100367082 is about 10018.3372871949. The cubic root of 100367082 is about 464.7261377343.

The spelling of 100367082 in words is "one hundred million, three hundred sixty-seven thousand, eighty-two".