10100055240 has 320 divisors, whose sum is σ = 37739338560. Its totient is φ = 2401850880.

The previous prime is 10100055197. The next prime is 10100055253. The reversal of 10100055240 is 4255000101.

10100055240 is a `hidden beast` number, since 10 + 100 + 0 + 552 + 4 + 0 = 666.

It is a super-2 number, since 2×10100055240² (a number of 21 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 1886247 + ... + 1891593.

It is an arithmetic number, because the mean of its divisors is an integer number (117935433).

Almost surely, 2^10100055240 is an apocalyptic number.

10100055240 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 10100055240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869669280).

10100055240 is an abundant number, since it is smaller than the sum of its proper divisors (27639283320).

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

10100055240 is a wasteful number, since it uses less digits than its factorization.

10100055240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10100055240 its reverse (4255000101), we get a palindrome (14355055341).

The spelling of 10100055240 in words is "ten billion, one hundred million, fifty-five thousand, two hundred forty".