100652240 has 80 divisors (see below), whose sum is σ = 266889168. Its totient is φ = 34971648.

The previous prime is 100652231. The next prime is 100652267. The reversal of 100652240 is 42256001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10705984 + 89946256 = 3272^2 + 9484^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14834 + ... + 20526.

Almost surely, 2^100652240 is an apocalyptic number.

100652240 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 100652240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133444584).

100652240 is an abundant number, since it is smaller than the sum of its proper divisors (166236928).

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

100652240 is a wasteful number, since it uses less digits than its factorization.

100652240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 100652240 is about 10032.5589955903. The cubic root of 100652240 is about 465.1658405652.

The spelling of 100652240 in words is "one hundred million, six hundred fifty-two thousand, two hundred forty".