100105105101132 has 48 divisors (see below), whose sum is σ = 233638481647872. Its totient is φ = 33359811524160.

The previous prime is 100105105101121. The next prime is 100105105101139. The reversal of 100105105101132 is 231101501501001.

It is a super-3 number, since 3×100105105101132³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105105101099 and 100105105101108.

It is not an unprimeable number, because it can be changed into a prime (100105105101139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721557683 + ... + 1721615829.

It is an arithmetic number, because the mean of its divisors is an integer number (4867468367664).

Almost surely, 2^{100105105101132} is an apocalyptic number.

100105105101132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100105105101132 is an abundant number, since it is smaller than the sum of its proper divisors (133533376546740).

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

100105105101132 is a wasteful number, since it uses less digits than its factorization.

100105105101132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92478 (or 92476 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 100105105101132 its reverse (231101501501001), we get a palindrome (331206606602133).

The spelling of 100105105101132 in words is "one hundred trillion, one hundred five billion, one hundred five million, one hundred one thousand, one hundred thirty-two".