101553662232 has 96 divisors (see below), whose sum is σ = 300278234880. Its totient is φ = 30749906880.

The previous prime is 101553662213. The next prime is 101553662269. The reversal of 101553662232 is 232266355101.

101553662232 is a `hidden beast` number, since 10 + 1 + 55 + 366 + 2 + 232 = 666.

It is a super-3 number, since 3×101553662232³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982773 + ... + 1081179.

It is an arithmetic number, because the mean of its divisors is an integer number (3127898280).

Almost surely, 2^101553662232 is an apocalyptic number.

101553662232 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 101553662232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150139117440).

101553662232 is an abundant number, since it is smaller than the sum of its proper divisors (198724572648).

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

101553662232 is a wasteful number, since it uses less digits than its factorization.

101553662232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99733 (or 99726 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 101553662232 in words is "one hundred one billion, five hundred fifty-three million, six hundred sixty-two thousand, two hundred thirty-two".