100601424 has 240 divisors, whose sum is σ = 360881664. Its totient is φ = 25401600.

The previous prime is 100601411. The next prime is 100601477. The reversal of 100601424 is 424106001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100601397 and 100601406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476679 + ... + 476889.

Almost surely, 2^100601424 is an apocalyptic number.

100601424 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 100601424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180440832).

100601424 is an abundant number, since it is smaller than the sum of its proper divisors (260280240).

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

100601424 is a wasteful number, since it uses less digits than its factorization.

100601424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 100601424 is about 10030.0261216011. The cubic root of 100601424 is about 465.0875450848.

Adding to 100601424 its reverse (424106001), we get a palindrome (524707425).

It can be divided in two parts, 100601 and 424, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 100601424 in words is "one hundred million, six hundred one thousand, four hundred twenty-four".