100746624 has 256 divisors, whose sum is σ = 327836160. Its totient is φ = 27033600.

The previous prime is 100746623. The next prime is 100746673. The reversal of 100746624 is 426647001.

It is a junction number, because it is equal to n+sod(n) for n = 100746591 and 100746600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100746623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1651554 + ... + 1651614.

It is an arithmetic number, because the mean of its divisors is an integer number (1280610).

Almost surely, 2^100746624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163918080).

100746624 is an abundant number, since it is smaller than the sum of its proper divisors (227089536).

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

100746624 is a wasteful number, since it uses less digits than its factorization.

100746624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 100746624 is about 10037.2617779950. The cubic root of 100746624 is about 465.3111941659.

It can be divided in two parts, 1007466 and 24, that added together give a triangular number (1007490 = T₁₄₁₉).

The spelling of 100746624 in words is "one hundred million, seven hundred forty-six thousand, six hundred twenty-four".