Search a number
-
+
106435500 = 2235370957
BaseRepresentation
bin1100101100000…
…01001110101100
321102021111001120
412112001032230
5204221414000
614321140540
72431454403
oct626011654
9242244046
10106435500
1155097626
122b78a750
1319087ab2
14101c863a
1595266a0
hex65813ac

106435500 has 48 divisors (see below), whose sum is σ = 309944544. Its totient is φ = 28382400.

The previous prime is 106435489. The next prime is 106435523. The reversal of 106435500 is 5534601.

It is a super-2 number, since 2×1064355002 = 22657031320500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33979 + ... + 36978.

It is an arithmetic number, because the mean of its divisors is an integer number (6457178).

Almost surely, 2106435500 is an apocalyptic number.

106435500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106435500 is an abundant number, since it is smaller than the sum of its proper divisors (203509044).

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

106435500 is a wasteful number, since it uses less digits than its factorization.

106435500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70979 (or 70967 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 106435500 is about 10316.7582117640. The cubic root of 106435500 is about 473.9095948219.

The spelling of 106435500 in words is "one hundred six million, four hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 70957 141914 212871 283828 354785 425742 709570 851484 1064355 1419140 1773925 2128710 3547850 4257420 5321775 7095700 8869625 10643550 17739250 21287100 26608875 35478500 53217750 106435500