100542624 has 192 divisors, whose sum is σ = 344445696. Its totient is φ = 24920064.

The previous prime is 100542601. The next prime is 100542647. The reversal of 100542624 is 426245001.

It is an interprime number because it is at equal distance from previous prime (100542601) and next prime (100542647).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100542594 and 100542603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148174 + ... + 148850.

It is an arithmetic number, because the mean of its divisors is an integer number (1793988).

Almost surely, 2^100542624 is an apocalyptic number.

100542624 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 100542624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172222848).

100542624 is an abundant number, since it is smaller than the sum of its proper divisors (243903072).

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

100542624 is a wasteful number, since it uses less digits than its factorization.

100542624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 100542624 is about 10027.0944944186. The cubic root of 100542624 is about 464.9969152299.

Adding to 100542624 its reverse (426245001), we get a palindrome (526787625).

The spelling of 100542624 in words is "one hundred million, five hundred forty-two thousand, six hundred twenty-four".