101679424 has 112 divisors (see below), whose sum is σ = 257495040. Its totient is φ = 38684160.

The previous prime is 101679421. The next prime is 101679433. The reversal of 101679424 is 424976101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 101679424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101679421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231397 + ... + 231835.

Almost surely, 2^101679424 is an apocalyptic number.

101679424 is a gapful number since it is divisible by the number (14) 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 101679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128747520).

101679424 is an abundant number, since it is smaller than the sum of its proper divisors (155815616).

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

101679424 is a wasteful number, since it uses less digits than its factorization.

101679424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 101679424 is about 10083.6215716378. The cubic root of 101679424 is about 466.7428700955.

It can be divided in two parts, 10167 and 9424, that added together give a palindrome (19591).

The spelling of 101679424 in words is "one hundred one million, six hundred seventy-nine thousand, four hundred twenty-four".