105214253100 has 144 divisors (see below), whose sum is σ = 332362894080. Its totient is φ = 25485868800.

The previous prime is 105214253069. The next prime is 105214253101. The reversal of 105214253100 is 1352412501.

It is a happy number.

It is a super-2 number, since 2×105214253100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105214253101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4287666 + ... + 4312134.

Almost surely, 2^105214253100 is an apocalyptic number.

105214253100 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 105214253100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166181447040).

105214253100 is an abundant number, since it is smaller than the sum of its proper divisors (227148640980).

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

105214253100 is a wasteful number, since it uses less digits than its factorization.

105214253100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25800 (or 25793 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 105214253100 its reverse (1352412501), we get a palindrome (106566665601).

The spelling of 105214253100 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, one hundred".