101050992 has 120 divisors (see below), whose sum is σ = 342272736. Its totient is φ = 27168768.

The previous prime is 101050981. The next prime is 101050997. The reversal of 101050992 is 299050101.

It is a happy number.

It is a super-3 number, since 3×101050992³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101050997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14188 + ... + 20084.

Almost surely, 2^101050992 is an apocalyptic number.

101050992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101050992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171136368).

101050992 is an abundant number, since it is smaller than the sum of its proper divisors (241221744).

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

101050992 is a wasteful number, since it uses less digits than its factorization.

101050992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5935 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 101050992 is about 10052.4122478140. The cubic root of 101050992 is about 465.7793106075.

The spelling of 101050992 in words is "one hundred one million, fifty thousand, nine hundred ninety-two".