101661696 has 88 divisors (see below), whose sum is σ = 301154640. Its totient is φ = 33878016.

The previous prime is 101661691. The next prime is 101661701. The reversal of 101661696 is 696166101.

It is an interprime number because it is at equal distance from previous prime (101661691) and next prime (101661701).

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 101661696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101661691) 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, 25810 + ... + 29486.

Almost surely, 2^101661696 is an apocalyptic number.

101661696 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 101661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150577320).

101661696 is an abundant number, since it is smaller than the sum of its proper divisors (199492944).

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

101661696 is an equidigital number, since it uses as much as digits as its factorization.

101661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 101661696 is about 10082.7424840665. The cubic root of 101661696 is about 466.7157426846.

The spelling of 101661696 in words is "one hundred one million, six hundred sixty-one thousand, six hundred ninety-six".