101007552 has 56 divisors (see below), whose sum is σ = 268833600. Its totient is φ = 33469696.

The previous prime is 101007539. The next prime is 101007563. The reversal of 101007552 is 255700101.

It is a super-2 number, since 2×101007552² = 20405051122065408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32899 + ... + 35837.

It is an arithmetic number, because the mean of its divisors is an integer number (4800600).

Almost surely, 2^101007552 is an apocalyptic number.

101007552 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 101007552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134416800).

101007552 is an abundant number, since it is smaller than the sum of its proper divisors (167826048).

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

101007552 is a wasteful number, since it uses less digits than its factorization.

101007552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 101007552 is about 10050.2513401407. The cubic root of 101007552 is about 465.7125576646.

Adding to 101007552 its reverse (255700101), we get a palindrome (356707653).

The spelling of 101007552 in words is "one hundred one million, seven thousand, five hundred fifty-two".