100146240 has 224 divisors, whose sum is σ = 360639360. Its totient is φ = 26155008.

The previous prime is 100146199. The next prime is 100146289. The reversal of 100146240 is 42641001.

It is a super-2 number, since 2×100146240² = 20058538772275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578794 + ... + 578966.

Almost surely, 2^100146240 is an apocalyptic number.

100146240 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 100146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180319680).

100146240 is an abundant number, since it is smaller than the sum of its proper divisors (260493120).

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

100146240 is a wasteful number, since it uses less digits than its factorization.

100146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100146240 is about 10007.3093286857. The cubic root of 100146240 is about 464.3850351393.

Adding to 100146240 its reverse (42641001), we get a palindrome (142787241).

The spelling of 100146240 in words is "one hundred million, one hundred forty-six thousand, two hundred forty".