100400345632 has 24 divisors (see below), whose sum is σ = 201392677836. Its totient is φ = 49252998912.

The previous prime is 100400345621. The next prime is 100400345663. The reversal of 100400345632 is 236543004001.

It can be written as a sum of positive squares in 2 ways, for example, as 86999041936 + 13401303696 = 294956^2 + 115764^2 .

It is a super-2 number, since 2×100400345632² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100400345632.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29597463 + ... + 29600854.

Almost surely, 2^100400345632 is an apocalyptic number.

It is an amenable number.

100400345632 is an abundant number, since it is smaller than the sum of its proper divisors (100992332204).

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

100400345632 is an equidigital number, since it uses as much as digits as its factorization.

100400345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59198380 (or 59198372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 100400345632 its reverse (236543004001), we get a palindrome (336943349633).

The spelling of 100400345632 in words is "one hundred billion, four hundred million, three hundred forty-five thousand, six hundred thirty-two".