103352553540 has 144 divisors (see below), whose sum is σ = 329722638336. Its totient is φ = 26168313600.

The previous prime is 103352553533. The next prime is 103352553559. The reversal of 103352553540 is 45355253301.

103352553540 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 52 + 553 + 54 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103352553495 and 103352553504.

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 47 ways as a sum of consecutive naturals, for example, 121005 + ... + 470475.

It is an arithmetic number, because the mean of its divisors is an integer number (2289740544).

Almost surely, 2^103352553540 is an apocalyptic number.

103352553540 is a gapful number since it is divisible by the number (10) 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 103352553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164861319168).

103352553540 is an abundant number, since it is smaller than the sum of its proper divisors (226370084796).

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

103352553540 is a wasteful number, since it uses less digits than its factorization.

103352553540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349570 (or 349565 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 103352553540 in words is "one hundred three billion, three hundred fifty-two million, five hundred fifty-three thousand, five hundred forty".