105101300 has 72 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 40768000.

The previous prime is 105101299. The next prime is 105101309. The reversal of 105101300 is 3101501.

It is a super-2 number, since 2×105101300² = 22092566523380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802235 + ... + 802365.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^105101300 is an apocalyptic number.

105101300 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 105101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

105101300 is an abundant number, since it is smaller than the sum of its proper divisors (130008652).

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

105101300 is a wasteful number, since it uses less digits than its factorization.

105101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 105101300 is about 10251.8925082153. The cubic root of 105101300 is about 471.9210643158.

Adding to 105101300 its reverse (3101501), we get a palindrome (108202801).

The spelling of 105101300 in words is "one hundred five million, one hundred one thousand, three hundred".