101693816640 has 756 divisors, whose sum is σ = 391205433996. Its totient is φ = 24233803776.

The previous prime is 101693816563. The next prime is 101693816659. The reversal of 101693816640 is 46618396101.

101693816640 is a `hidden beast` number, since 10 + 169 + 381 + 66 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51079616064 + 50614200576 = 226008^2 + 224976^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 899945224 + ... + 899945336.

Almost surely, 2^101693816640 is an apocalyptic number.

101693816640 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 101693816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195602716998).

101693816640 is an abundant number, since it is smaller than the sum of its proper divisors (289511617356).

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

101693816640 is a wasteful number, since it uses less digits than its factorization.

101693816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 101693816640 in words is "one hundred one billion, six hundred ninety-three million, eight hundred sixteen thousand, six hundred forty".