101256480 has 240 divisors, whose sum is σ = 385479864. Its totient is φ = 24883200.

The previous prime is 101256479. The next prime is 101256481. The reversal of 101256480 is 84652101.

101256480 is a `hidden beast` number, since 1 + 0 + 12 + 5 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101256479) and next prime (101256481).

It can be written as a sum of positive squares in 4 ways, for example, as 80353296 + 20903184 = 8964^2 + 4572^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (101256481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168180 + ... + 168780.

Almost surely, 2^101256480 is an apocalyptic number.

101256480 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 101256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192739932).

101256480 is an abundant number, since it is smaller than the sum of its proper divisors (284223384).

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

101256480 is a wasteful number, since it uses less digits than its factorization.

101256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 101256480 is about 10062.6278873861. The cubic root of 101256480 is about 466.0948188250.

It can be divided in two parts, 10125 and 6480, that multiplied together give a 4-th power (65610000 = 90⁴).

The spelling of 101256480 in words is "one hundred one million, two hundred fifty-six thousand, four hundred eighty".