101168006940 has 720 divisors, whose sum is σ = 428546764800. Its totient is φ = 19400808960.

The previous prime is 101168006923. The next prime is 101168006941. The reversal of 101168006940 is 49600861101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101168006895 and 101168006904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101168006941) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21078661 + ... + 21083459.

It is an arithmetic number, because the mean of its divisors is an integer number (595203840).

Almost surely, 2^101168006940 is an apocalyptic number.

101168006940 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 101168006940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214273382400).

101168006940 is an abundant number, since it is smaller than the sum of its proper divisors (327378757860).

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

101168006940 is a wasteful number, since it uses less digits than its factorization.

101168006940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 101168006940 in words is "one hundred one billion, one hundred sixty-eight million, six thousand, nine hundred forty".