Search a number
-
+
106600556010 = 23513355976801
BaseRepresentation
bin110001101000111100…
…0110110010111101010
3101012011011202022220010
41203101320312113222
53221304220243020
6120545511512350
710462442530014
oct1432170662752
9335134668803
10106600556010
1141233264573
12187b03886b6
13a08b13a1a0
14523391d1b4
152b8d94ede0
hex18d1e365ea

106600556010 has 64 divisors (see below), whose sum is σ = 275602440960. Its totient is φ = 26232422400.

The previous prime is 106600555993. The next prime is 106600556011. The reversal of 106600556010 is 10655006601.

It is a super-2 number, since 2×1066005560102 (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 not an unprimeable number, because it can be changed into a prime (106600556011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1349610 + ... + 1426410.

It is an arithmetic number, because the mean of its divisors is an integer number (4306288140).

Almost surely, 2106600556010 is an apocalyptic number.

106600556010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106600556010 is an abundant number, since it is smaller than the sum of its proper divisors (169001884950).

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

106600556010 is a wasteful number, since it uses less digits than its factorization.

106600556010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80383.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 106600556010 in words is "one hundred six billion, six hundred million, five hundred fifty-six thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 3559 7118 10677 17795 21354 35590 46267 53385 76801 92534 106770 138801 153602 230403 231335 277602 384005 460806 462670 694005 768010 998413 1152015 1388010 1996826 2304030 2995239 4992065 5990478 9984130 14976195 29952390 273334759 546669518 820004277 1366673795 1640008554 2733347590 3553351867 4100021385 7106703734 8200042770 10660055601 17766759335 21320111202 35533518670 53300278005 106600556010