100345204544 has 224 divisors, whose sum is σ = 227110625280. Its totient is φ = 43679397888.

The previous prime is 100345204529. The next prime is 100345204559. The reversal of 100345204544 is 445402543001.

It is an interprime number because it is at equal distance from previous prime (100345204529) and next prime (100345204559).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 100345204544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139561817 + ... + 139562535.

It is an arithmetic number, because the mean of its divisors is an integer number (1013886720).

Almost surely, 2^100345204544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100345204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113555312640).

100345204544 is an abundant number, since it is smaller than the sum of its proper divisors (126765420736).

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

100345204544 is a wasteful number, since it uses less digits than its factorization.

100345204544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 100345204544 its reverse (445402543001), we get a palindrome (545747747545).

The spelling of 100345204544 in words is "one hundred billion, three hundred forty-five million, two hundred four thousand, five hundred forty-four".