100222752 has 192 divisors, whose sum is σ = 329785344. Its totient is φ = 25989120.

The previous prime is 100222747. The next prime is 100222763. The reversal of 100222752 is 257222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 354003 + ... + 354285.

It is an arithmetic number, because the mean of its divisors is an integer number (1717632).

Almost surely, 2^100222752 is an apocalyptic number.

100222752 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 100222752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164892672).

100222752 is an abundant number, since it is smaller than the sum of its proper divisors (229562592).

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

100222752 is a wasteful number, since it uses less digits than its factorization.

100222752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 100222752 is about 10011.1314045916. The cubic root of 100222752 is about 464.5032688445.

Adding to 100222752 its reverse (257222001), we get a palindrome (357444753).

The spelling of 100222752 in words is "one hundred million, two hundred twenty-two thousand, seven hundred fifty-two".