101007975 has 12 divisors (see below), whose sum is σ = 166999976. Its totient is φ = 53870880.

The previous prime is 101007961. The next prime is 101007997. The reversal of 101007975 is 579700101.

It is not a de Polignac number, because 101007975 - 2⁹ = 101007463 is a prime.

It is a super-2 number, since 2×101007975² = 20405222027201250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 673312 + ... + 673461.

Almost surely, 2^101007975 is an apocalyptic number.

101007975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

101007975 is a deficient number, since it is larger than the sum of its proper divisors (65992001).

101007975 is a wasteful number, since it uses less digits than its factorization.

101007975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346786 (or 1346781 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 30.

The square root of 101007975 is about 10050.2723843685. The cubic root of 101007975 is about 465.7132077683.

The spelling of 101007975 in words is "one hundred one million, seven thousand, nine hundred seventy-five".