100314004110 has 128 divisors (see below), whose sum is σ = 252833218560. Its totient is φ = 25438963200.

The previous prime is 100314004069. The next prime is 100314004117. The reversal of 100314004110 is 11400413001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100314004110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100314004117) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17112580 + ... + 17118440.

It is an arithmetic number, because the mean of its divisors is an integer number (1975259520).

Almost surely, 2^100314004110 is an apocalyptic number.

100314004110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100314004110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126416609280).

100314004110 is an abundant number, since it is smaller than the sum of its proper divisors (152519214450).

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

100314004110 is a wasteful number, since it uses less digits than its factorization.

100314004110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100314004110 its reverse (11400413001), we get a palindrome (111714417111).

The spelling of 100314004110 in words is "one hundred billion, three hundred fourteen million, four thousand, one hundred ten".