10106105100 has 288 divisors, whose sum is σ = 36829309440. Its totient is φ = 2082447360.

The previous prime is 10106105083. The next prime is 10106105123. The reversal of 10106105100 is 150160101.

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 10106105100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1169596 + ... + 1178204.

Almost surely, 2^10106105100 is an apocalyptic number.

10106105100 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 10106105100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18414654720).

10106105100 is an abundant number, since it is smaller than the sum of its proper divisors (26723204340).

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

10106105100 is a wasteful number, since it uses less digits than its factorization.

10106105100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8689 (or 8682 counting only the distinct ones).

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

Adding to 10106105100 its reverse (150160101), we get a palindrome (10256265201).

The spelling of 10106105100 in words is "ten billion, one hundred six million, one hundred five thousand, one hundred".