101249280 has 432 divisors, whose sum is σ = 413247744. Its totient is φ = 22609920.

The previous prime is 101249273. The next prime is 101249299. The reversal of 101249280 is 82942101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2154217 + ... + 2154263.

It is an arithmetic number, because the mean of its divisors is an integer number (956592).

Almost surely, 2^101249280 is an apocalyptic number.

101249280 is a gapful number since it is divisible by the number (10) 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 101249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872).

101249280 is an abundant number, since it is smaller than the sum of its proper divisors (311998464).

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

101249280 is a wasteful number, since it uses less digits than its factorization.

101249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

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

The square root of 101249280 is about 10062.2701215978. The cubic root of 101249280 is about 466.0837710967.

The spelling of 101249280 in words is "one hundred one million, two hundred forty-nine thousand, two hundred eighty".