105150100 has 72 divisors (see below), whose sum is σ = 263608128. Its totient is φ = 35980800.

The previous prime is 105150091. The next prime is 105150113. The reversal of 105150100 is 1051501.

It is a super-2 number, since 2×105150100² = 22113087060020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15889 + ... + 21511.

It is an arithmetic number, because the mean of its divisors is an integer number (3661224).

Almost surely, 2^105150100 is an apocalyptic number.

105150100 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 105150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131804064).

105150100 is an abundant number, since it is smaller than the sum of its proper divisors (158458028).

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

105150100 is a wasteful number, since it uses less digits than its factorization.

105150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 105150100 is about 10254.2722803717. The cubic root of 105150100 is about 471.9940928591.

Multiplying 105150100 by its reverse (1051501), we get a square (110565435300100 = 10515010²).

105150100 divided by its reverse (1051501) gives a square (100 = 10²).

The spelling of 105150100 in words is "one hundred five million, one hundred fifty thousand, one hundred".