101683240960 has 112 divisors (see below), whose sum is σ = 278886367296. Its totient is φ = 34862727168.

The previous prime is 101683240943. The next prime is 101683240961. The reversal of 101683240960 is 69042386101.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (101683240961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109399 + ... + 464041.

Almost surely, 2^101683240960 is an apocalyptic number.

101683240960 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 101683240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139443183648).

101683240960 is an abundant number, since it is smaller than the sum of its proper divisors (177203126336).

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

101683240960 is an frugal number, since it uses more digits than its factorization.

101683240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354681 (or 354657 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 101683240960 in words is "one hundred one billion, six hundred eighty-three million, two hundred forty thousand, nine hundred sixty".