106251003252 has 36 divisors (see below), whose sum is σ = 274824950400. Its totient is φ = 34593349392.

The previous prime is 106251003239. The next prime is 106251003253. The reversal of 106251003252 is 252300152601.

It is a happy number.

106251003252 is a `hidden beast` number, since 1 + 0 + 625 + 1 + 0 + 0 + 32 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106251003252² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106251003253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34317252 + ... + 34320347.

It is an arithmetic number, because the mean of its divisors is an integer number (7634026400).

Almost surely, 2^106251003252 is an apocalyptic number.

106251003252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106251003252 is an abundant number, since it is smaller than the sum of its proper divisors (168573947148).

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

106251003252 is a wasteful number, since it uses less digits than its factorization.

106251003252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68637652 (or 68637647 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 106251003252 its reverse (252300152601), we get a palindrome (358551155853).

The spelling of 106251003252 in words is "one hundred six billion, two hundred fifty-one million, three thousand, two hundred fifty-two".