101964701696 has 112 divisors (see below), whose sum is σ = 239569526448. Its totient is φ = 42781900800.

The previous prime is 101964701653. The next prime is 101964701701. The reversal of 101964701696 is 696107469101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1127936 + ... + 1214976.

It is an arithmetic number, because the mean of its divisors is an integer number (2139013629).

Almost surely, 2^101964701696 is an apocalyptic number.

101964701696 is a gapful number since it is divisible by the number (16) 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 101964701696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119784763224).

101964701696 is an abundant number, since it is smaller than the sum of its proper divisors (137604824752).

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

101964701696 is an equidigital number, since it uses as much as digits as its factorization.

101964701696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87091 (or 87067 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 50.

The spelling of 101964701696 in words is "one hundred one billion, nine hundred sixty-four million, seven hundred one thousand, six hundred ninety-six".