101553345 has 64 divisors (see below), whose sum is σ = 188455680. Its totient is φ = 52488000.

The previous prime is 101553343. The next prime is 101553383. The reversal of 101553345 is 543355101.

101553345 is a `hidden beast` number, since 101 + 553 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 101553345 - 2¹ = 101553343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101553341) 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 63 ways as a sum of consecutive naturals, for example, 404470 + ... + 404720.

It is an arithmetic number, because the mean of its divisors is an integer number (2944620).

Almost surely, 2^101553345 is an apocalyptic number.

101553345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101553345 is a deficient number, since it is larger than the sum of its proper divisors (86902335).

101553345 is an frugal number, since it uses more digits than its factorization.

101553345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 101553345 is about 10077.3679599387. The cubic root of 101553345 is about 466.5498752518.

The spelling of 101553345 in words is "one hundred one million, five hundred fifty-three thousand, three hundred forty-five".