101527668 has 120 divisors (see below), whose sum is σ = 294918624. Its totient is φ = 30196800.

The previous prime is 101527649. The next prime is 101527691. The reversal of 101527668 is 866725101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 217171 + ... + 217637.

Almost surely, 2^101527668 is an apocalyptic number.

101527668 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 101527668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

101527668 is an abundant number, since it is smaller than the sum of its proper divisors (193390956).

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

101527668 is a wasteful number, since it uses less digits than its factorization.

101527668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 101527668 is about 10076.0938860255. The cubic root of 101527668 is about 466.5105507276.

The spelling of 101527668 in words is "one hundred one million, five hundred twenty-seven thousand, six hundred sixty-eight".