105020351700 has 144 divisors (see below), whose sum is σ = 333201965376. Its totient is φ = 25327411200.

The previous prime is 105020351669. The next prime is 105020351701. The reversal of 105020351700 is 7153020501.

It is a super-2 number, since 2×105020351700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105020351701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554454 + ... + 719346.

Almost surely, 2^105020351700 is an apocalyptic number.

105020351700 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 105020351700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166600982688).

105020351700 is an abundant number, since it is smaller than the sum of its proper divisors (228181613676).

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

105020351700 is a wasteful number, since it uses less digits than its factorization.

105020351700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165114 (or 165107 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The spelling of 105020351700 in words is "one hundred five billion, twenty million, three hundred fifty-one thousand, seven hundred".