100653144457340 has 48 divisors (see below), whose sum is σ = 211611455554464. Its totient is φ = 40215577824000.

The previous prime is 100653144457339. The next prime is 100653144457391. The reversal of 100653144457340 is 43754441356001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271519115 + ... + 271889565.

It is an arithmetic number, because the mean of its divisors is an integer number (4408571990718).

Almost surely, 2^{100653144457340} is an apocalyptic number.

100653144457340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100653144457340 is an abundant number, since it is smaller than the sum of its proper divisors (110958311097124).

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

100653144457340 is a wasteful number, since it uses less digits than its factorization.

100653144457340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385838 (or 385836 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 100653144457340 in words is "one hundred trillion, six hundred fifty-three billion, one hundred forty-four million, four hundred fifty-seven thousand, three hundred forty".