101689812 has 72 divisors (see below), whose sum is σ = 294746816. Its totient is φ = 28957824.

The previous prime is 101689793. The next prime is 101689817. The reversal of 101689812 is 218986101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101689817) 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, 114723 + ... + 115605.

Almost surely, 2^101689812 is an apocalyptic number.

101689812 is a gapful number since it is divisible by the number (12) 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 101689812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147373408).

101689812 is an abundant number, since it is smaller than the sum of its proper divisors (193057004).

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

101689812 is a wasteful number, since it uses less digits than its factorization.

101689812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 101689812 is about 10084.1366511963. The cubic root of 101689812 is about 466.7587643628.

The spelling of 101689812 in words is "one hundred one million, six hundred eighty-nine thousand, eight hundred twelve".