106296762 has 64 divisors (see below), whose sum is σ = 251314560. Its totient is φ = 29548800.

The previous prime is 106296761. The next prime is 106296763. The reversal of 106296762 is 267692601.

It is an interprime number because it is at equal distance from previous prime (106296761) and next prime (106296763).

It is a super-2 number, since 2×106296762² = 22598003223369288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106296762.

It is not an unprimeable number, because it can be changed into a prime (106296761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196212 + ... + 196752.

It is an arithmetic number, because the mean of its divisors is an integer number (3926790).

Almost surely, 2^106296762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106296762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125657280).

106296762 is an abundant number, since it is smaller than the sum of its proper divisors (145017798).

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

106296762 is a wasteful number, since it uses less digits than its factorization.

106296762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 106296762 is about 10310.0321047027. The cubic root of 106296762 is about 473.7035925701.

It can be divided in two parts, 10629 and 6762, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 106296762 in words is "one hundred six million, two hundred ninety-six thousand, seven hundred sixty-two".