101689357 has 24 divisors (see below), whose sum is σ = 132559200. Its totient is φ = 77081760.

The previous prime is 101689327. The next prime is 101689361. The reversal of 101689357 is 753986101.

It is not a de Polignac number, because 101689357 - 2⁷ = 101689229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101689327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17394 + ... + 22492.

It is an arithmetic number, because the mean of its divisors is an integer number (5523300).

Almost surely, 2^101689357 is an apocalyptic number.

It is an amenable number.

101689357 is a deficient number, since it is larger than the sum of its proper divisors (30869843).

101689357 is a wasteful number, since it uses less digits than its factorization.

101689357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 101689357 is about 10084.1140909849. The cubic root of 101689357 is about 466.7580682080.

The spelling of 101689357 in words is "one hundred one million, six hundred eighty-nine thousand, three hundred fifty-seven".