100034752 has 56 divisors (see below), whose sum is σ = 206745840. Its totient is φ = 47984640.

The previous prime is 100034741. The next prime is 100034761. The reversal of 100034752 is 257430001.

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 7 ways as a sum of consecutive naturals, for example, 175524 + ... + 176092.

It is an arithmetic number, because the mean of its divisors is an integer number (3691890).

Almost surely, 2^100034752 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 100034752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103372920).

100034752 is an abundant number, since it is smaller than the sum of its proper divisors (106711088).

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

100034752 is an equidigital number, since it uses as much as digits as its factorization.

100034752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 100034752 is about 10001.7374490635. The cubic root of 100034752 is about 464.2126452990.

Adding to 100034752 its reverse (257430001), we get a palindrome (357464753).

The spelling of 100034752 in words is "one hundred million, thirty-four thousand, seven hundred fifty-two".