Search a number
-
+
105354202620 = 22357972203141
BaseRepresentation
bin110001000011110011…
…0011000110111111100
3101001221022112000110110
41202013212120313330
53211231133440440
6120222110110020
710416526642452
oct1420746306774
9331838460413
10105354202620
1140753778847
1218502aab310
139c1cb66384
1451561a49d2
152b1930a080
hex1887998dfc

105354202620 has 48 divisors (see below), whose sum is σ = 295362029088. Its totient is φ = 28059191040.

The previous prime is 105354202607. The next prime is 105354202621. The reversal of 105354202620 is 26202453501.

It is a super-2 number, since 2×1053542026202 (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 (105354202621) 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, 1053751 + ... + 1149390.

It is an arithmetic number, because the mean of its divisors is an integer number (6153375606).

Almost surely, 2105354202620 is an apocalyptic number.

105354202620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105354202620 is an abundant number, since it is smaller than the sum of its proper divisors (190007826468).

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

105354202620 is a wasteful number, since it uses less digits than its factorization.

105354202620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203950 (or 2203948 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 105354202620 in words is "one hundred five billion, three hundred fifty-four million, two hundred two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 797 1594 2391 3188 3985 4782 7970 9564 11955 15940 23910 47820 2203141 4406282 6609423 8812564 11015705 13218846 22031410 26437692 33047115 44062820 66094230 132188460 1755903377 3511806754 5267710131 7023613508 8779516885 10535420262 17559033770 21070840524 26338550655 35118067540 52677101310 105354202620