100351545334240 has 96 divisors (see below), whose sum is σ = 240806618236800. Its totient is φ = 39510679448064.

The previous prime is 100351545334237. The next prime is 100351545334259. The reversal of 100351545334240 is 42433545153001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 100351545334193 and 100351545334202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10105611 + ... + 17401909.

It is an arithmetic number, because the mean of its divisors is an integer number (2508402273300).

Almost surely, 2^{100351545334240} is an apocalyptic number.

100351545334240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100351545334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120403309118400).

100351545334240 is an abundant number, since it is smaller than the sum of its proper divisors (140455072902560).

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

100351545334240 is a wasteful number, since it uses less digits than its factorization.

100351545334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297664 (or 7297656 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 100351545334240 in words is "one hundred trillion, three hundred fifty-one billion, five hundred forty-five million, three hundred thirty-four thousand, two hundred forty".