101858637409 has 9 divisors (see below), whose sum is σ = 102231811377. Its totient is φ = 101486824164.

The previous prime is 101858637371. The next prime is 101858637421. The reversal of 101858637409 is 904736858101.

The square root of 101858637409 is 319153.

It is a perfect power (a square), and thus also a powerful number.

It is a de Polignac number, because none of the positive numbers 2^k-101858637409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101858637109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 140107804 + ... + 140108530.

It is an arithmetic number, because the mean of its divisors is an integer number (11359090153).

Almost surely, 2^101858637409 is an apocalyptic number.

101858637409 is the 319153-rd square number.

101858637409 is the 159577-th centered octagonal number.

It is an amenable number.

101858637409 is a deficient number, since it is larger than the sum of its proper divisors (373173968).

101858637409 is an frugal number, since it uses more digits than its factorization.

101858637409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 101858637409 in words is "one hundred one billion, eight hundred fifty-eight million, six hundred thirty-seven thousand, four hundred nine".