105261156 has 288 divisors, whose sum is σ = 375717888. Its totient is φ = 23950080.

The previous prime is 105261139. The next prime is 105261157. The reversal of 105261156 is 651162501.

It is a happy number.

It is a super-2 number, since 2×105261156² = 22159821924912672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105261157) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 828765 + ... + 828891.

It is an arithmetic number, because the mean of its divisors is an integer number (1304576).

Almost surely, 2^105261156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105261156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187858944).

105261156 is an abundant number, since it is smaller than the sum of its proper divisors (270456732).

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

105261156 is a wasteful number, since it uses less digits than its factorization.

105261156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 105261156 is about 10259.6859601062. The cubic root of 105261156 is about 472.1602024898.

The spelling of 105261156 in words is "one hundred five million, two hundred sixty-one thousand, one hundred fifty-six".