105402132 has 54 divisors (see below), whose sum is σ = 292868394. Its totient is φ = 31938720.

The previous prime is 105402131. The next prime is 105402133. The reversal of 105402132 is 231204501.

105402132 = T₄₀₃ + T₄₀₄ + ... + T₈₈₆.

It is an interprime number because it is at equal distance from previous prime (105402131) and next prime (105402133).

It can be written as a sum of positive squares in only one way, i.e., 78216336 + 27185796 = 8844^2 + 5214^2 .

It is a super-2 number, since 2×105402132² = 22219218860290848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105402131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7743 + ... + 16454.

Almost surely, 2^105402132 is an apocalyptic number.

105402132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105402132 is an abundant number, since it is smaller than the sum of its proper divisors (187466262).

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

105402132 is a wasteful number, since it uses less digits than its factorization.

105402132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24229 (or 24213 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105402132 is about 10266.5540470014. The cubic root of 105402132 is about 472.3708961123.

Adding to 105402132 its reverse (231204501), we get a palindrome (336606633).

The spelling of 105402132 in words is "one hundred five million, four hundred two thousand, one hundred thirty-two".