10106007552 has 104 divisors (see below), whose sum is σ = 29940398480. Its totient is φ = 3368632320.

The previous prime is 10106007529. The next prime is 10106007553. The reversal of 10106007552 is 25570060101.

10106007552 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 600 + 7 + 5 + 52 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106007553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64902 + ... + 156282.

Almost surely, 2^10106007552 is an apocalyptic number.

10106007552 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 10106007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14970199240).

10106007552 is an abundant number, since it is smaller than the sum of its proper divisors (19834390928).

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

10106007552 is an frugal number, since it uses more digits than its factorization.

10106007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91414 (or 91386 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 10106007552 its reverse (25570060101), we get a palindrome (35676067653).

The spelling of 10106007552 in words is "ten billion, one hundred six million, seven thousand, five hundred fifty-two".