101555352 has 48 divisors (see below), whose sum is σ = 276896880. Its totient is φ = 33624000.

The previous prime is 101555351. The next prime is 101555381. The reversal of 101555352 is 253555101.

101555352 is a `hidden beast` number, since 101 + 5 + 553 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101555351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6202 + ... + 15542.

It is an arithmetic number, because the mean of its divisors is an integer number (5768685).

Almost surely, 2^101555352 is an apocalyptic number.

101555352 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 101555352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138448440).

101555352 is an abundant number, since it is smaller than the sum of its proper divisors (175341528).

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

101555352 is a wasteful number, since it uses less digits than its factorization.

101555352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9504 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 101555352 is about 10077.4675390199. The cubic root of 101555352 is about 466.5529487085.

The spelling of 101555352 in words is "one hundred one million, five hundred fifty-five thousand, three hundred fifty-two".