100283040 has 288 divisors, whose sum is σ = 402869376. Its totient is φ = 22394880.

The previous prime is 100283011. The next prime is 100283063. The reversal of 100283040 is 40382001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×100283040² = 20113376223283200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 205677 + ... + 206163.

It is an arithmetic number, because the mean of its divisors is an integer number (1398852).

Almost surely, 2^100283040 is an apocalyptic number.

100283040 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 100283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201434688).

100283040 is an abundant number, since it is smaller than the sum of its proper divisors (302586336).

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

100283040 is a wasteful number, since it uses less digits than its factorization.

100283040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

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

The square root of 100283040 is about 10014.1420001915. The cubic root of 100283040 is about 464.5963892828.

The spelling of 100283040 in words is "one hundred million, two hundred eighty-three thousand, forty".