100100146410 has 64 divisors (see below), whose sum is σ = 291200434560. Its totient is φ = 24266701440.

The previous prime is 100100146379. The next prime is 100100146429. The reversal of 100100146410 is 14641001001.

100100146410 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 0 + 14 + 641 + 0 = 666.

It is a super-2 number, since 2×100100146410² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16848907 + ... + 16854846.

It is an arithmetic number, because the mean of its divisors is an integer number (4550006790).

Almost surely, 2^100100146410 is an apocalyptic number.

100100146410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100146410 is an abundant number, since it is smaller than the sum of its proper divisors (191100288150).

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

100100146410 is a wasteful number, since it uses less digits than its factorization.

100100146410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33703780 (or 33703774 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100100146410 its reverse (14641001001), we get a palindrome (114741147411).

The spelling of 100100146410 in words is "one hundred billion, one hundred million, one hundred forty-six thousand, four hundred ten".