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105553123320 = 23352713245791
BaseRepresentation
bin110001001001101110…
…1001101011111111000
3101002110011211020100210
41202103131031133320
53212133044421240
6120253533431120
710424463513261
oct1422335153770
9332404736323
10105553123320
1140845a93917
121855963b4a0
139c52133328
145174785968
152b2b9ee780
hex189374d7f8

105553123320 has 64 divisors (see below), whose sum is σ = 317827952640. Its totient is φ = 28043625600.

The previous prime is 105553123237. The next prime is 105553123321. The reversal of 105553123320 is 23321355501.

It is a super-2 number, since 2×1055531233202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105553123321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590376 + ... + 1655415.

It is an arithmetic number, because the mean of its divisors is an integer number (4966061760).

Almost surely, 2105553123320 is an apocalyptic number.

105553123320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105553123320 is an abundant number, since it is smaller than the sum of its proper divisors (212274829320).

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

105553123320 is a wasteful number, since it uses less digits than its factorization.

105553123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246076 (or 3246072 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 105553123320 its reverse (23321355501), we get a palindrome (128874478821).

The spelling of 105553123320 in words is "one hundred five billion, five hundred fifty-three million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6504 8130 10840 16260 32520 3245791 6491582 9737373 12983164 16228955 19474746 25966328 32457910 38949492 48686865 64915820 77898984 97373730 129831640 194747460 389494920 879609361 1759218722 2638828083 3518437444 4398046805 5277656166 7036874888 8796093610 10555312332 13194140415 17592187220 21110624664 26388280830 35184374440 52776561660 105553123320