100145241305232 has 40 divisors (see below), whose sum is σ = 259308791925120. Its totient is φ = 33304295245440.

The previous prime is 100145241305209. The next prime is 100145241305281. The reversal of 100145241305232 is 232503142541001.

It is a junction number, because it is equal to n+sod(n) for n = 100145241305193 and 100145241305202.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2420349607 + ... + 2420390982.

It is an arithmetic number, because the mean of its divisors is an integer number (6482719798128).

Almost surely, 2^{100145241305232} is an apocalyptic number.

100145241305232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100145241305232 is an abundant number, since it is smaller than the sum of its proper divisors (159163550619888).

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

100145241305232 is a wasteful number, since it uses less digits than its factorization.

100145241305232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4840741031 (or 4840741025 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 100145241305232 its reverse (232503142541001), we get a palindrome (332648383846233).

The spelling of 100145241305232 in words is "one hundred trillion, one hundred forty-five billion, two hundred forty-one million, three hundred five thousand, two hundred thirty-two".