101727990 has 96 divisors (see below), whose sum is σ = 325555776. Its totient is φ = 21461760.

The previous prime is 101727971. The next prime is 101728001. The reversal of 101727990 is 99727101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1980 + ... + 14400.

It is an arithmetic number, because the mean of its divisors is an integer number (3391206).

Almost surely, 2^101727990 is an apocalyptic number.

101727990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101727990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162777888).

101727990 is an abundant number, since it is smaller than the sum of its proper divisors (223827786).

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

101727990 is a wasteful number, since it uses less digits than its factorization.

101727990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12451 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 101727990 is about 10086.0294467149. The cubic root of 101727990 is about 466.8171697105.

It can be divided in two parts, 10 and 1727990, that added together give a cube (1728000 = 120³).

The spelling of 101727990 in words is "one hundred one million, seven hundred twenty-seven thousand, nine hundred ninety".