101968455624 has 128 divisors (see below), whose sum is σ = 294738339840. Its totient is φ = 28794673152.

The previous prime is 101968455583. The next prime is 101968455629. The reversal of 101968455624 is 426554869101.

It is a Cunningham number, because it is equal to 319325²-1.

It is not an unprimeable number, because it can be changed into a prime (101968455629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13407807 + ... + 13415409.

It is an arithmetic number, because the mean of its divisors is an integer number (2302643280).

Almost surely, 2^101968455624 is an apocalyptic number.

101968455624 is a gapful number since it is divisible by the number (14) 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 101968455624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147369169920).

101968455624 is an abundant number, since it is smaller than the sum of its proper divisors (192769884216).

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

101968455624 is a wasteful number, since it uses less digits than its factorization.

101968455624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The spelling of 101968455624 in words is "one hundred one billion, nine hundred sixty-eight million, four hundred fifty-five thousand, six hundred twenty-four".