100074240 has 432 divisors, whose sum is σ = 424726848. Its totient is φ = 21233664.

The previous prime is 100074239. The next prime is 100074241. The reversal of 100074240 is 42470001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100074239) and next prime (100074241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100074241) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1370844 + ... + 1370916.

It is an arithmetic number, because the mean of its divisors is an integer number (983164).

Almost surely, 2^100074240 is an apocalyptic number.

100074240 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 100074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212363424).

100074240 is an abundant number, since it is smaller than the sum of its proper divisors (324652608).

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

100074240 is a wasteful number, since it uses less digits than its factorization.

100074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 100074240 is about 10003.7113113084. The cubic root of 100074240 is about 464.2737187997.

The spelling of 100074240 in words is "one hundred million, seventy-four thousand, two hundred forty".