101553552 has 90 divisors (see below), whose sum is σ = 290399382. Its totient is φ = 33126912.

The previous prime is 101553541. The next prime is 101553559. The reversal of 101553552 is 255355101.

101553552 is a `hidden beast` number, since 101 + 5 + 5 + 3 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 44036496 = 7584^2 + 6636^2 .

It is not an unprimeable number, because it can be changed into a prime (101553559) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 898648 + ... + 898760.

Almost surely, 2^101553552 is an apocalyptic number.

101553552 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 101553552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145199691).

101553552 is an abundant number, since it is smaller than the sum of its proper divisors (188845830).

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

101553552 is a wasteful number, since it uses less digits than its factorization.

101553552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 197 counting only the distinct ones).

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

The square root of 101553552 is about 10077.3782304724. The cubic root of 101553552 is about 466.5501922470.

The spelling of 101553552 in words is "one hundred one million, five hundred fifty-three thousand, five hundred fifty-two".