100140413310 has 48 divisors (see below), whose sum is σ = 297560087136. Its totient is φ = 22889237184.

The previous prime is 100140413237. The next prime is 100140413357. The reversal of 100140413310 is 13314041001.

100140413310 is a `hidden beast` number, since 100 + 140 + 413 + 3 + 10 = 666.

It is a super-2 number, since 2×100140413310² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79475889 + ... + 79477148.

It is an arithmetic number, because the mean of its divisors is an integer number (6199168482).

Almost surely, 2^100140413310 is an apocalyptic number.

100140413310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100140413310 is an abundant number, since it is smaller than the sum of its proper divisors (197419673826).

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

100140413310 is a wasteful number, since it uses less digits than its factorization.

100140413310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158953057 (or 158953054 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100140413310 its reverse (13314041001), we get a palindrome (113454454311).

The spelling of 100140413310 in words is "one hundred billion, one hundred forty million, four hundred thirteen thousand, three hundred ten".