101661552 has 120 divisors (see below), whose sum is σ = 304184400. Its totient is φ = 31601664.

The previous prime is 101661487. The next prime is 101661613. The reversal of 101661552 is 255166101.

It is a happy number.

101661552 is a `hidden beast` number, since 101 + 6 + 6 + 1 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199474 + ... + 199982.

It is an arithmetic number, because the mean of its divisors is an integer number (2534870).

Almost surely, 2^101661552 is an apocalyptic number.

101661552 is a gapful number since it is divisible by the number (12) 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 101661552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152092200).

101661552 is an abundant number, since it is smaller than the sum of its proper divisors (202522848).

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

101661552 is a wasteful number, since it uses less digits than its factorization.

101661552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101661552 is about 10082.7353431497. The cubic root of 101661552 is about 466.7155223227.

The spelling of 101661552 in words is "one hundred one million, six hundred sixty-one thousand, five hundred fifty-two".