101761696 has 48 divisors (see below), whose sum is σ = 211264200. Its totient is φ = 48176128.

The previous prime is 101761691. The next prime is 101761703. The reversal of 101761696 is 696167101.

It can be written as a sum of positive squares in 4 ways, for example, as 82083600 + 19678096 = 9060^2 + 4436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101761691) 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, 48150 + ... + 50218.

Almost surely, 2^101761696 is an apocalyptic number.

101761696 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 101761696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105632100).

101761696 is an abundant number, since it is smaller than the sum of its proper divisors (109502504).

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

101761696 is a wasteful number, since it uses less digits than its factorization.

101761696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 101761696 is about 10087.7002334526. The cubic root of 101761696 is about 466.8687215730.

The spelling of 101761696 in words is "one hundred one million, seven hundred sixty-one thousand, six hundred ninety-six".