101553088 has 168 divisors, whose sum is σ = 262688832. Its totient is φ = 38578176.

The previous prime is 101553079. The next prime is 101553091. The reversal of 101553088 is 880355101.

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 23 ways as a sum of consecutive naturals, for example, 1916070 + ... + 1916122.

It is an arithmetic number, because the mean of its divisors is an integer number (1563624).

Almost surely, 2^101553088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101553088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131344416).

101553088 is an abundant number, since it is smaller than the sum of its proper divisors (161135744).

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

101553088 is a wasteful number, since it uses less digits than its factorization.

101553088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 101553088 is about 10077.3552085852. The cubic root of 101553088 is about 466.5494816872.

The spelling of 101553088 in words is "one hundred one million, five hundred fifty-three thousand, eighty-eight".