10106702100 has 360 divisors, whose sum is σ = 36295156128. Its totient is φ = 2412115200.

The previous prime is 10106702087. The next prime is 10106702141. The reversal of 10106702100 is 120760101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5968854 + ... + 5970546.

Almost surely, 2^10106702100 is an apocalyptic number.

10106702100 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 10106702100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18147578064).

10106702100 is an abundant number, since it is smaller than the sum of its proper divisors (26188454028).

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

10106702100 is a wasteful number, since it uses less digits than its factorization.

10106702100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The spelling of 10106702100 in words is "ten billion, one hundred six million, seven hundred two thousand, one hundred".