105245100 has 108 divisors (see below), whose sum is σ = 331817304. Its totient is φ = 27901440.

The previous prime is 105245071. The next prime is 105245111. The reversal of 105245100 is 1542501.

It is a super-2 number, since 2×105245100² = 22153062148020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 303127 + ... + 303473.

Almost surely, 2^105245100 is an apocalyptic number.

105245100 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 105245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165908652).

105245100 is an abundant number, since it is smaller than the sum of its proper divisors (226572204).

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

105245100 is a wasteful number, since it uses less digits than its factorization.

105245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105245100 is about 10258.9034501744. The cubic root of 105245100 is about 472.1361942992.

Adding to 105245100 its reverse (1542501), we get a palindrome (106787601).

The spelling of 105245100 in words is "one hundred five million, two hundred forty-five thousand, one hundred".