101009607 has 8 divisors (see below), whose sum is σ = 135239280. Its totient is φ = 67059840.

The previous prime is 101009603. The next prime is 101009611. The reversal of 101009607 is 706900101.

It is an interprime number because it is at equal distance from previous prime (101009603) and next prime (101009611).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101009607 - 2² = 101009603 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101009603) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 69132 + ... + 70577.

It is an arithmetic number, because the mean of its divisors is an integer number (16904910).

Almost surely, 2^101009607 is an apocalyptic number.

101009607 is a deficient number, since it is larger than the sum of its proper divisors (34229673).

101009607 is a wasteful number, since it uses less digits than its factorization.

101009607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139953.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 101009607 is about 10050.3535758699. The cubic root of 101009607 is about 465.7157159526.

Adding to 101009607 its reverse (706900101), we get a palindrome (807909708).

The spelling of 101009607 in words is "one hundred one million, nine thousand, six hundred seven".