101380608 has 180 divisors, whose sum is σ = 341119350. Its totient is φ = 28901376.

The previous prime is 101380603. The next prime is 101380613. The reversal of 101380608 is 806083101.

It is an interprime number because it is at equal distance from previous prime (101380603) and next prime (101380613).

It can be written as a sum of positive squares in only one way, i.e., 82301184 + 19079424 = 9072^2 + 4368^2 .

It is not an unprimeable number, because it can be changed into a prime (101380603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225568 + ... + 226016.

Almost surely, 2^101380608 is an apocalyptic number.

101380608 is a gapful number since it is divisible by the number (18) 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 101380608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170559675).

101380608 is an abundant number, since it is smaller than the sum of its proper divisors (239738742).

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

101380608 is an equidigital number, since it uses as much as digits as its factorization.

101380608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101380608 is about 10068.7937708546. The cubic root of 101380608 is about 466.2851993733.

The spelling of 101380608 in words is "one hundred one million, three hundred eighty thousand, six hundred eight".