100695063040 has 640 divisors, whose sum is σ = 308860231680. Its totient is φ = 30921523200.

The previous prime is 100695063031. The next prime is 100695063041. The reversal of 100695063040 is 40360596001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a junction number, because it is equal to n+sod(n) for n = 100695062987 and 100695063005.

It is not an unprimeable number, because it can be changed into a prime (100695063041) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 215620887 + ... + 215621353.

It is an arithmetic number, because the mean of its divisors is an integer number (482594112).

Almost surely, 2^100695063040 is an apocalyptic number.

100695063040 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 100695063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

100695063040 is an abundant number, since it is smaller than the sum of its proper divisors (208165168640).

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

100695063040 is a wasteful number, since it uses less digits than its factorization.

100695063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The spelling of 100695063040 in words is "one hundred billion, six hundred ninety-five million, sixty-three thousand, forty".