106126002 has 72 divisors (see below), whose sum is σ = 255168576. Its totient is φ = 31810944.

The previous prime is 106125977. The next prime is 106126049. The reversal of 106126002 is 200621601.

It is a happy number.

106126002 is a `hidden beast` number, since 1 + 0 + 61 + 2 + 600 + 2 = 666.

It is a super-2 number, since 2×106126002² = 22525456601008008, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 119203 + ... + 120089.

It is an arithmetic number, because the mean of its divisors is an integer number (3544008).

Almost surely, 2^106126002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106126002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127584288).

106126002 is an abundant number, since it is smaller than the sum of its proper divisors (149042574).

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

106126002 is a wasteful number, since it uses less digits than its factorization.

106126002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106126002 is about 10301.7475216586. The cubic root of 106126002 is about 473.4497968835.

Adding to 106126002 its reverse (200621601), we get a palindrome (306747603).

The spelling of 106126002 in words is "one hundred six million, one hundred twenty-six thousand, two".