101248092 has 72 divisors (see below), whose sum is σ = 281054592. Its totient is φ = 30477600.

The previous prime is 101248087. The next prime is 101248097. The reversal of 101248092 is 290842101.

It is an interprime number because it is at equal distance from previous prime (101248087) and next prime (101248097).

It is a super-2 number, since 2×101248092² = 20502352267280928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101248097) 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, 65367 + ... + 66897.

It is an arithmetic number, because the mean of its divisors is an integer number (3903536).

Almost surely, 2^101248092 is an apocalyptic number.

101248092 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 101248092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140527296).

101248092 is an abundant number, since it is smaller than the sum of its proper divisors (179806500).

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

101248092 is a wasteful number, since it uses less digits than its factorization.

101248092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101248092 is about 10062.2110890201. The cubic root of 101248092 is about 466.0819481712.

The spelling of 101248092 in words is "one hundred one million, two hundred forty-eight thousand, ninety-two".