101992842 has 48 divisors (see below), whose sum is σ = 254067840. Its totient is φ = 28966176.

The previous prime is 101992837. The next prime is 101992859. The reversal of 101992842 is 248299101.

It is a junction number, because it is equal to n+sod(n) for n = 101992797 and 101992806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19459 + ... + 24137.

It is an arithmetic number, because the mean of its divisors is an integer number (5293080).

Almost surely, 2^101992842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101992842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127033920).

101992842 is an abundant number, since it is smaller than the sum of its proper divisors (152074998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101992842 is a wasteful number, since it uses less digits than its factorization.

101992842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4864 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 101992842 is about 10099.1505583391. The cubic root of 101992842 is about 467.2219429952.

It can be divided in two parts, 10199 and 2842, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 101992842 in words is "one hundred one million, nine hundred ninety-two thousand, eight hundred forty-two".