101485216 has 48 divisors (see below), whose sum is σ = 230078016. Its totient is φ = 43163136.

The previous prime is 101485211. The next prime is 101485229. The reversal of 101485216 is 612584101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (101485211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29035 + ... + 32341.

It is an arithmetic number, because the mean of its divisors is an integer number (4793292).

Almost surely, 2^101485216 is an apocalyptic number.

101485216 is a gapful number since it is divisible by the number (16) 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 101485216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115039008).

101485216 is an abundant number, since it is smaller than the sum of its proper divisors (128592800).

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

101485216 is a wasteful number, since it uses less digits than its factorization.

101485216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3461 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 101485216 is about 10073.9870954851. The cubic root of 101485216 is about 466.4455206157.

It can be divided in two parts, 10 and 1485216, that added together give a triangular number (1485226 = T₁₇₂₃).

The spelling of 101485216 in words is "one hundred one million, four hundred eighty-five thousand, two hundred sixteen".