100034088 has 288 divisors, whose sum is σ = 345693600. Its totient is φ = 23950080.

The previous prime is 100034071. The next prime is 100034111. The reversal of 100034088 is 880430001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2703606 + ... + 2703642.

It is an arithmetic number, because the mean of its divisors is an integer number (1200325).

Almost surely, 2^100034088 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 100034088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846800).

100034088 is an abundant number, since it is smaller than the sum of its proper divisors (245659512).

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

100034088 is a wasteful number, since it uses less digits than its factorization.

100034088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 100034088 is about 10001.7042547758. The cubic root of 100034088 is about 464.2116181964.

Adding to 100034088 its reverse (880430001), we get a palindrome (980464089).

The spelling of 100034088 in words is "one hundred million, thirty-four thousand, eighty-eight".