100034250480 has 160 divisors (see below), whose sum is σ = 346845419520. Its totient is φ = 26499052800.

The previous prime is 100034250479. The next prime is 100034250487. The reversal of 100034250480 is 84052430001.

100034250480 is a `hidden beast` number, since 100 + 0 + 34 + 2 + 50 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100034250487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172809 + ... + 479511.

It is an arithmetic number, because the mean of its divisors is an integer number (2167783872).

Almost surely, 2^100034250480 is an apocalyptic number.

100034250480 is a gapful number since it is divisible by the number (10) 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 100034250480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173422709760).

100034250480 is an abundant number, since it is smaller than the sum of its proper divisors (246811169040).

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

100034250480 is a wasteful number, since it uses less digits than its factorization.

100034250480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306876 (or 306864 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 100034250480 its reverse (84052430001), we get a palindrome (184086680481).

The spelling of 100034250480 in words is "one hundred billion, thirty-four million, two hundred fifty thousand, four hundred eighty".