101286480 has 160 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 25315840.

The previous prime is 101286469. The next prime is 101286499. The reversal of 101286480 is 84682101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325525 + ... + 325835.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^101286480 is an apocalyptic number.

101286480 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 101286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

101286480 is an abundant number, since it is smaller than the sum of its proper divisors (232977840).

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

101286480 is a wasteful number, since it uses less digits than its factorization.

101286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 101286480 is about 10064.1184412744. The cubic root of 101286480 is about 466.1408453899.

The spelling of 101286480 in words is "one hundred one million, two hundred eighty-six thousand, four hundred eighty".