101861280 has 384 divisors, whose sum is σ = 402796800. Its totient is φ = 23887872.

The previous prime is 101861237. The next prime is 101861303. The reversal of 101861280 is 82168101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1395324 + ... + 1395396.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^101861280 is an apocalyptic number.

101861280 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 101861280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

101861280 is an abundant number, since it is smaller than the sum of its proper divisors (300935520).

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

101861280 is a wasteful number, since it uses less digits than its factorization.

101861280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 101861280 is about 10092.6349384093. The cubic root of 101861280 is about 467.0209645057.

The spelling of 101861280 in words is "one hundred one million, eight hundred sixty-one thousand, two hundred eighty".