100034772 has 48 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 31453920.

The previous prime is 100034771. The next prime is 100034789. The reversal of 100034772 is 277430001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60979 + ... + 62597.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^100034772 is an apocalyptic number.

100034772 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 100034772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

100034772 is an abundant number, since it is smaller than the sum of its proper divisors (146723628).

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

100034772 is a wasteful number, since it uses less digits than its factorization.

100034772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 100034772 is about 10001.7384488898. The cubic root of 100034772 is about 464.2126762358.

Adding to 100034772 its reverse (277430001), we get a palindrome (377464773).

The spelling of 100034772 in words is "one hundred million, thirty-four thousand, seven hundred seventy-two".