101841696 has 288 divisors, whose sum is σ = 350977536. Its totient is φ = 27648000.

The previous prime is 101841689. The next prime is 101841697. The reversal of 101841696 is 696148101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101841696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101841697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1669506 + ... + 1669566.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 2^101841696 is an apocalyptic number.

101841696 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 101841696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768).

101841696 is an abundant number, since it is smaller than the sum of its proper divisors (249135840).

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

101841696 is a wasteful number, since it uses less digits than its factorization.

101841696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

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

The square root of 101841696 is about 10091.6646793282. The cubic root of 101841696 is about 466.9910325407.

Adding to 101841696 its reverse (696148101), we get a palindrome (797989797).

The spelling of 101841696 in words is "one hundred one million, eight hundred forty-one thousand, six hundred ninety-six".