101007052 has 24 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 48760080.

The previous prime is 101007041. The next prime is 101007061. The reversal of 101007052 is 250700101.

It is an unprimeable number.

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, 79599 + ... + 80857.

It is an arithmetic number, because the mean of its divisors is an integer number (7620480).

Almost surely, 2^101007052 is an apocalyptic number.

It is an amenable number.

101007052 is a deficient number, since it is larger than the sum of its proper divisors (81884468).

101007052 is a wasteful number, since it uses less digits than its factorization.

101007052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1941 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 101007052 is about 10050.2264651101. The cubic root of 101007052 is about 465.7117892182.

Adding to 101007052 its reverse (250700101), we get a palindrome (351707153).

The spelling of 101007052 in words is "one hundred one million, seven thousand, fifty-two".