100362240 has 360 divisors, whose sum is σ = 395405010. Its totient is φ = 24330240.

The previous prime is 100362233. The next prime is 100362247. The reversal of 100362240 is 42263001.

It is a happy number.

100362240 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 622 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (100362233) and next prime (100362247).

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 10036224 = 9504^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (100362247) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9123835 + ... + 9123845.

Almost surely, 2^100362240 is an apocalyptic number.

100362240 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 100362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197702505).

100362240 is an abundant number, since it is smaller than the sum of its proper divisors (295042770).

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

100362240 is an equidigital number, since it uses as much as digits as its factorization.

100362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100362240 is about 10018.0956274134. The cubic root of 100362240 is about 464.7186643672.

The spelling of 100362240 in words is "one hundred million, three hundred sixty-two thousand, two hundred forty".