101985837 has 16 divisors (see below), whose sum is σ = 141312000. Its totient is φ = 65346624.

The previous prime is 101985823. The next prime is 101985847. The reversal of 101985837 is 738589101.

It is not a de Polignac number, because 101985837 - 2¹¹ = 101983789 is a prime.

It is a super-2 number, since 2×101985837² = 20802221897181138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101985847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17364 + ... + 22482.

It is an arithmetic number, because the mean of its divisors is an integer number (8832000).

Almost surely, 2^101985837 is an apocalyptic number.

It is an amenable number.

101985837 is a deficient number, since it is larger than the sum of its proper divisors (39326163).

101985837 is a wasteful number, since it uses less digits than its factorization.

101985837 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380.

The product of its (nonzero) digits is 60480, while the sum is 42.

The square root of 101985837 is about 10098.8037410378. The cubic root of 101985837 is about 467.2112462817.

The spelling of 101985837 in words is "one hundred one million, nine hundred eighty-five thousand, eight hundred thirty-seven".