105051500 has 72 divisors (see below), whose sum is σ = 244057632. Its totient is φ = 39494400.

The previous prime is 105051493. The next prime is 105051539. The reversal of 105051500 is 5150501.

It is a super-2 number, since 2×105051500² = 22071635304500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 144137 + ... + 144863.

Almost surely, 2^105051500 is an apocalyptic number.

105051500 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 105051500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122028816).

105051500 is an abundant number, since it is smaller than the sum of its proper divisors (139006132).

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

105051500 is a wasteful number, since it uses less digits than its factorization.

105051500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 105051500 is about 10249.4634005883. The cubic root of 105051500 is about 471.8465159772.

Subtracting from 105051500 its reverse (5150501), we obtain a palindrome (99900999).

The spelling of 105051500 in words is "one hundred five million, fifty-one thousand, five hundred".