105149296 has 60 divisors (see below), whose sum is σ = 240453360. Its totient is φ = 44405760.

The previous prime is 105149279. The next prime is 105149309. The reversal of 105149296 is 692941501.

It is a super-2 number, since 2×105149296² = 22112748898591232, 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 11 ways as a sum of consecutive naturals, for example, 54720 + ... + 56608.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2^105149296 is an apocalyptic number.

105149296 is a gapful number since it is divisible by the number (16) 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 105149296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120226680).

105149296 is an abundant number, since it is smaller than the sum of its proper divisors (135304064).

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

105149296 is a wasteful number, since it uses less digits than its factorization.

105149296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 105149296 is about 10254.2330771248. The cubic root of 105149296 is about 471.9928898670.

The spelling of 105149296 in words is "one hundred five million, one hundred forty-nine thousand, two hundred ninety-six".