100653036879648 has 192 divisors, whose sum is σ = 297621202120704. Its totient is φ = 29508126336000.

The previous prime is 100653036879631. The next prime is 100653036879673. The reversal of 100653036879648 is 846978630356001.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108582090 + ... + 109505142.

It is an arithmetic number, because the mean of its divisors is an integer number (1550110427712).

Almost surely, 2^{100653036879648} 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 100653036879648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148810601060352).

100653036879648 is an abundant number, since it is smaller than the sum of its proper divisors (196968165241056).

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

100653036879648 is a wasteful number, since it uses less digits than its factorization.

100653036879648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926439 (or 926431 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 100653036879648 in words is "one hundred trillion, six hundred fifty-three billion, thirty-six million, eight hundred seventy-nine thousand, six hundred forty-eight".