100746240 has 176 divisors, whose sum is σ = 368656512. Its totient is φ = 23003136.

The previous prime is 100746221. The next prime is 100746241. The reversal of 100746240 is 42647001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100746240.

It is not an unprimeable number, because it can be changed into a prime (100746241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107052 + ... + 107988.

Almost surely, 2^100746240 is an apocalyptic number.

100746240 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 100746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184328256).

100746240 is an abundant number, since it is smaller than the sum of its proper divisors (267910272).

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

100746240 is an equidigital number, since it uses as much as digits as its factorization.

100746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 100746240 is about 10037.2426492538. The cubic root of 100746240 is about 465.3106029807.

The spelling of 100746240 in words is "one hundred million, seven hundred forty-six thousand, two hundred forty".