101887807 has 8 divisors (see below), whose sum is σ = 118820000. Its totient is φ = 87332112.

The previous prime is 101887789. The next prime is 101887813. The reversal of 101887807 is 708788101.

It is not a de Polignac number, because 101887807 - 2⁷ = 101887679 is a prime.

It is a super-2 number, since 2×101887807² = 20762250430538498, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101887807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101887837) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148182 + ... + 148867.

It is an arithmetic number, because the mean of its divisors is an integer number (14852500).

Almost surely, 2^101887807 is an apocalyptic number.

101887807 is a deficient number, since it is larger than the sum of its proper divisors (16932193).

101887807 is an frugal number, since it uses more digits than its factorization.

101887807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297070 (or 297056 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 40.

The square root of 101887807 is about 10093.9490289975. The cubic root of 101887807 is about 467.0615019564.

The spelling of 101887807 in words is "one hundred one million, eight hundred eighty-seven thousand, eight hundred seven".