105061152 has 96 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 29622528.

The previous prime is 105061141. The next prime is 105061153. The reversal of 105061152 is 251160501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105061152² = 22075691319134208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (105061153) 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, 52099 + ... + 54077.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^105061152 is an apocalyptic number.

105061152 is a gapful number since it is divisible by the number (12) 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 105061152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

105061152 is an abundant number, since it is smaller than the sum of its proper divisors (214273248).

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

105061152 is a wasteful number, since it uses less digits than its factorization.

105061152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105061152 is about 10249.9342436915. The cubic root of 105061152 is about 471.8609664233.

The spelling of 105061152 in words is "one hundred five million, sixty-one thousand, one hundred fifty-two".