105351500 has 48 divisors (see below), whose sum is σ = 240117696. Its totient is φ = 40304000.

The previous prime is 105351497. The next prime is 105351503. The reversal of 105351500 is 5153501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105351497) and next prime (105351503).

It is a super-2 number, since 2×105351500² = 22197877104500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (105351503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6920 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (5002452).

Almost surely, 2^105351500 is an apocalyptic number.

105351500 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 105351500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120058848).

105351500 is an abundant number, since it is smaller than the sum of its proper divisors (134766196).

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

105351500 is a wasteful number, since it uses less digits than its factorization.

105351500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9203 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 105351500 is about 10264.0878795926. The cubic root of 105351500 is about 472.2952464284.

The spelling of 105351500 in words is "one hundred five million, three hundred fifty-one thousand, five hundred".