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103497359680 = 265112131271619
BaseRepresentation
bin110000001100011101…
…1000110000101000000
3100220010220112121210201
41200120323012011000
53143430311002210
6115313535334544
710322522020261
oct1403073060500
9326126477721
10103497359680
113a99061a200
1218085081454
1399b5263340
14501b732968
152a5b2c453a
hex1818ec6140

103497359680 has 336 divisors, whose sum is σ = 294211491840. Its totient is φ = 34445537280.

The previous prime is 103497359671. The next prime is 103497359687. The reversal of 103497359680 is 86953794301.

103497359680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103497359687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63925911 + ... + 63927529.

It is an arithmetic number, because the mean of its divisors is an integer number (875629440).

Almost surely, 2103497359680 is an apocalyptic number.

103497359680 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 103497359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147105745920).

103497359680 is an abundant number, since it is smaller than the sum of its proper divisors (190714132160).

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

103497359680 is a wasteful number, since it uses less digits than its factorization.

103497359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 103497359680 in words is "one hundred three billion, four hundred ninety-seven million, three hundred fifty-nine thousand, six hundred eighty".