100106100510 has 96 divisors (see below), whose sum is σ = 262734552288. Its totient is φ = 24397401600.

The previous prime is 100106100509. The next prime is 100106100517. The reversal of 100106100510 is 15001601001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100106100510.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100106100517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414324 + ... + 609816.

It is an arithmetic number, because the mean of its divisors is an integer number (2736818253).

Almost surely, 2^100106100510 is an apocalyptic number.

100106100510 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 100106100510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131367276144).

100106100510 is an abundant number, since it is smaller than the sum of its proper divisors (162628451778).

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

100106100510 is a wasteful number, since it uses less digits than its factorization.

100106100510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195630 (or 195617 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 100106100510 its reverse (15001601001), we get a palindrome (115107701511).

The spelling of 100106100510 in words is "one hundred billion, one hundred six million, one hundred thousand, five hundred ten".