101051280 has 160 divisors (see below), whose sum is σ = 379797120. Its totient is φ = 24491520.

The previous prime is 101051273. The next prime is 101051287. The reversal of 101051280 is 82150101.

It is an interprime number because it is at equal distance from previous prime (101051273) and next prime (101051287).

It is a super-2 number, since 2×101051280² = 20422722379276800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101051287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21634 + ... + 25886.

It is an arithmetic number, because the mean of its divisors is an integer number (2373732).

Almost surely, 2^101051280 is an apocalyptic number.

101051280 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 101051280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189898560).

101051280 is an abundant number, since it is smaller than the sum of its proper divisors (278745840).

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

101051280 is a wasteful number, since it uses less digits than its factorization.

101051280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4274 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 101051280 is about 10052.4265727236. The cubic root of 101051280 is about 465.7797531046.

The spelling of 101051280 in words is "one hundred one million, fifty-one thousand, two hundred eighty".